Is 7 to the 8th power times 7 equivalent to 7 to the the third power times 7 to third power equivalent?

Answers

Answer 1

Answer:

They are not equivalent.

Step-by-step explanation:

Before we solve the question, we need to know that from the laws of indices:

A^x x A^y = A^(x+y).

7 to the power of 8th power means 7^8

7^8 times 7 means 7^8 x 7. From the laws of indices we have 7^8 x 7 = 7^9.

7 to the power of 3rd power means 7^3

7^3 times 7 to the power of 3rd power means 7^3 x 7^3. From the laws of indices we have 7^3 x 7^3 = 7^6.

Obviously, 7^9 ≠ 7^3 therefore, they are not equivalent.


Related Questions

Would someone mind explaining the Point-Slope form to me? My virtual teacher kind of brushed over it and I am a little confused as to how I should copy it down in my notes so I understand.

Answers

Answer:

This picture kind of sums it up

Step-by-step explanation:

Carlos has 2.6 meters of wire. He has 3 projects for which he needs 0.9 meters each. Does carlos have enough wires?

Answers

Answer: Carlos does not have enough wires by 0.1 meters

Step-by-step explanation:

To determine if Carlos has enough wires, you need to find out the total amount of wires needed and then compare this to the amount of wires that Carlos has already.

= 0.9 + 0.9 + 0.9

= 2.7 meters

Carlos has 2.6 meters of wire but needs 2.7 meters.  

Carlos therefore, does not have enough wires.

Heidi lost an average of 4 pounds a month for five months. What was her total weight loss?

Answers

Answer:

20 lbs

Step-by-step explanation:

is heidi dieting cuz thats good!

4 lbs x 5 months = 20 lbs

Which statement is true about the prime polynomial 2x2 + 3x + 3?
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It cannot be modeled with a rectangle.
It can be modeled with a square.
It cannot be modeled with all positive tiles.
It can only be modeled with an odd number of tiles.

Answers

Answer:

It cannot be modeled with a rectangle.

Step-by-step explanation:

The given expression 2x^2 + 3x +3 cannot be factored.

That means that it cannot be modeled with a rectangle.

So your answer is, It cannot be modeled with a rectangle.

Answer:

It cannot be modeled with a rectangle.

Step-by-step explanation:

Hope this helps

The volume of a cube is 125 cubic centimeters. A rectangular prsim with three different whole-numbers dimensions has the same volume. What are the dimensions of the rectangular prism?

Answers

Answer:

1 cm , 5 cm, 25 cm

Step-by-step explanation:

125 = 5 x 5 x 5 = 1 x 5 x 25

In the accompanying diagram, the legs of right angle triangle abc are 4 and 3 the hypotenuse is 5 what is the value of tan a

Answers

can you please explain a little more i’m not fully understanding

Answer:3/5

Step-by-step explanation:

270 divided by 4
PLEASE HELP ASAP​

Answers

Answer:

67.5

Step-by-step explanation:

Answer: Divide the 2 numbers

Answer:

the answer is 67.5

Step-by-step explanation:

270/4=67.5

Caleb a organizado en si horario personal 6,5 horas de tiempo libre al día. Como desea ser un futbolista profesional, usa 6/13 de su tiempo libre para hacer ejercicios distintos para fortalecer su cuerpo, y el resto del tiempo libre juega fulbito con sus amigos de la comunidad. ¿Cuantas horas a la semana dedica Caleb para fortalecer su cuerpo y jugar fulbito?

Answers

Responder:

Fortalecimiento = 21 horas

Jugar al fútbol = 24,5 horas

Explicación paso a paso:

Número de horas diarias = 6. 5 horas

Fracción de fortalecimiento del tiempo: 6/13

Por lo tanto, el tiempo dedicado al fortalecimiento diario = 6/13 * 6.5 horas = 6/13 * 6.5 horas = 3 horas

Tiempo total dedicado a la semana =. 3 * 7 = 21 horas

Tiempo diario dedicado a jugar al fútbol = (6,5 - 3) = 3,5 horas

Tiempo total invertido por semana:

3,5 * 7 = 24,5 horas

Please I need help with this

Answers

Answer:

1680.25

Step-by-step explanation:

could 13 15 and 19 be a right triangle

Answers

Answer:

No b/c the hypotenuse is too short

Step-by-step explanation:

13² + 15² = 19²

169 + 225 = 361

394 ≠ 361

trigonometry please help! work need to be shown

Answers

Answer:

x = 5.56

Step-by-step explanation:

Apply trigonometric function to find x

Reference angle = 46°

Hypotenuse = 8

Adjacent length = x

Apply CAH:

Cos 46 = Adj/Hyp

Cos 46 = x/8

8 × Cos 46 = x

5.55726696 = x

x = 5.56 (nearest hundredth)

Two angles are same side interior angles between two parallel lines. One angle is 30° more than one half the other angle. What is the measure of the smaller angle?

Answers

Answer:

284

Step-by-step explanation:

As a business goal, a small electronics store looks to sell at least $7600 worth of televisions and projection systems per day. The price per television is $475 and the price per projection system is $360. In order to keep costs down, the owner never has more than 25 items total in the store.

Answers

The question is incomplete:

As a business goal, a small electronics store looks to sell at least $7600 worth of televisions and projection systems per day. The price per television is $475 and the price per projection system is $360. In order to keep costs down, the owner never has more than 25 items total in the store. Let x represent the number of televisions and y represent the number of projection systems sold in a given day. Write a system of inequalities that describes what is necessary to obtain the stores goal.

Answer:

The system of inequalities that describes what is necessary to obtain the stores goal is:

x+y≤25

475x+360y≥7600

Step-by-step explanation:

According to the information provided, you know that the owner never has more than 25 items total in the store which means that the sum of the amount of televisions and projection systems is less than or equal to 25, which can be expressed as:

x+y≤25, where:

x is the number of televisions

y is the number of projection systems

Also, the statement indicates that the price per television is $475 and the price per projection system is $360 and that the store looks to sell at least $7600 worth of televisions and projection systems per day. This means that the result of adding up the sales of televisions and projection systems should be greater than or equal to 7600:

475x+360y≥7600

The answer is that the system of inequalities that describes what is necessary to obtain the stores goal is:

x+y≤25

475x+360y≥7600

HELP
What is an equation of the line that passes through the points (-6, 2) and (6, –2)?

Answers

Answer:

y=(-1/3)x

Step-by-step explanation:

y=mx+b

(x,y)

put in the first point into y=mx+b

2=m(-6)+b

then the second point is (6,-2)

put the point into y=mx+b

-2=6m+b

----------------------------

Put both equations in a system of equations

-2=6m+b

2=m(-6)+b

solve for m and b

-1/3=m and 0=b

so put that back into y=mx+b

y=(-1/3)x+0

so that is the only line that passes through both points

Please help on this!

Answers

Answer:

18cm,21cm,27cm

Step-by-step explanation:

explanation in picture

image down below plz and thx answer first and ill give you brailiest

Answers

I think it’s C hope it’s right

If ABCD \cong≅ EFGH, select the answer choice that has the correct tick marks for corresponding sides

Answers

Answer:

AB and EF;

BC and FG;

CD and GH;

DA and HE

Step-by-step explanation:

Given

[tex]ABCD \cong EFGH[/tex]

Required

Select correct option for corresponding sides

No options were given. So, I will just list out the corresponding sides.

[tex]ABCD \cong EFGH[/tex] implies that:

[tex]A \cong E[/tex]

[tex]B \cong F[/tex]

[tex]C \cong G[/tex]

[tex]D \cong H[/tex]

So, the corresponding sides are:

AB and EF; BC and FG; CD and GH; DA and HE

Jennifer needs to make at least $325 to pay for a new Xbox. She already has $184 saved in her account. Which inequality can Jennifer use to find n, the amount of money she still needs to save to meet or exceed her goal?

Answers

i’m pretty sure it’s the last one. number 4.

184 + n >_ 235

Tina bought a car for $5000. After owning the car for a year, it had a depreciation of 15%.
a) How much is the car worth now?
b) How much did the cardecrease in value?

Answers

Answer:

The car is worth $4250 now and it decreased by $750

Step-by-step explanation:

5000* .85 is 4250

Consider a quadratic equation with integer coefficients and two distinct zeros. If one zero is irrational, what is true about the other zero

Answers

Answer:

Step-by-step explanation:

irrational roots always occur in pairs.

Other root is also irrational and is negative of first zero.

If a quadratic equation with integer coefficients and two distinct roots have one irrational root then another root is also irrational .

What is quadratic equation ?

Any equation of the  form [tex]ax^{2}+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Let assume quadratic equation is

[tex]ax^{2}+bx+c=0[/tex]

Given that coefficients are integer and roots are distinct

we know root of quadratic equation are

[tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]

As roots are distinct

[tex]b^2-4ac > 0\\[/tex]

and one root is irrational so [tex]b^2-4ac[/tex] is not a perfect square

Hence another root is also irrational .

If a quadratic equation with integer coefficients and two distinct roots have one irrational root then another root is also irrational .

To learn more about quadratic equations visit : https://brainly.com/question/1214333

Which phrase represents the algebraic expression for n – 4?
A. The quotient of a number and four.
B. Four less than a number.
C. Four minus a number.
D. Four more than a number.

Answers

b, it is four less than a number

Step-by-step explanation:

B. Four less than a number.

Expand the expression 8(x-7)

Answers

Answer:

ig it Will be 8x-56 becoz 8 multiplies x and 7 and we get 8x-56

Answer:

8x-56

Step-by-step explanation:

just distribute the 8 to both values in the parentheses:)

The school is having a bake sale, Chocolate cookies cost $.20 each and oatmeal cookies cost $.25 each. Sue bought 13 cookies, some chocolate and some oatmeal, She spent$2.90, Find out how many of each kind of cookie Sue bought.

Answers

Answer:

7 chocolate and 6 oatmeal

Step-by-step explanation:

if i did it right that should be it

I just did it 7 chocolates and 6 oatmeal cookies

help ineed help its just too much too count im so confused #screwfortnite

Answers

Answer:

7 X 10

Step-by-step explanation:

because up and down there are 7 and left to right there are 10

Answer:

7 X 10

Step-by-step explanation:

All you have to do is count how many rows there are (just count the vertical line down the side) and you get your first term 7. Then count how many columns (just count the top row) and you get your second term 10. This is a 7 by 10 array, which means there are 70 flowers in total.

Find the 60th term of the arithmetic sequence -27, -24, -21

Answers

Answer:
The 60th term would be 150.

Find the value of x. Show your work on a piece of paper. 1) 3 12 Х 20​

Answers

Answer:

x=5

Step-by-step explanation:

3 = 12/4

x = 20/4

x = 5

How many points need to be removed from this graph so that it will be a function?

Answers

I think 4 I’m not sure

A student mistakenly writes the following in his notes: log2a+log2b=log2(a+b) . However, after substituting the values for a and b in a problem, he still gets the right answer. If the value of a is 11, what must be the value of b ? Round your answer to nearest tenth if necessary.

Answers

Answer:

b=11/10

Step-by-step explanation:

plug in 11 for "a" and solve for "b"

Leo has a lock box with a volume of 312 cubic inches. The box is 4 inches high and 13 inches long. What is the width of the box?

Answers

Answer:

6in

Step-by-step explanation:

Given data

Volume of the lockbox= 312 cubic inches

Height= 4in

Length= 13in

Width= ???

The expression for the volume of box is

V= L*W*H

substitute

312=13*W*4

312=52W

W= 312/52

W=6 in

Hence the width is 6in

Find the square root for y=-2(x-5)(x+7)?

Answers

12 I think I’m not sure just a guess
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