SkaterGirl123 SkaterGirl123
  • 04-11-2014
  • Mathematics
contestada

What is the missing value?

7^___ / 7^5 = 7^-2


A. 7
B. 3
C. -3
D. -7

Respuesta :

SlowZasob
SlowZasob SlowZasob
  • 08-11-2014
The correct answer is B. It's because the result of dividing exponentations with the same bases (other than 0) is always the same base powered to the difference of all the exponentations. The formula is:

[tex]\frac{a^{n}}{a^{m}} = a^{n - m}[/tex]

In this situation it's:

[tex] \frac{7^{3}}{7^{5}} = 7^{-2}[/tex] because 3 - 5 = -2.
Answer Link

Otras preguntas

In regards to credit, what does capacity mean? A) Your overall credit line from multiple sources B) your perceived ability to repay your loans and debt C) somet
Why did the United States Navy do away with the pay-grade W-1?
Which sentence uses an indefinite article? She gave us a picture of her trip to Egypt. That beautiful park is my favorite. Did you enjoy the play
Again please help! I am terrible at this stuff
help me 0.0 and fast 0.0
what specialized tissue do vasculer plants have that other plants do not
Please help I don’t know which one it is
Solve for x in the equation ? 2x^2 +3 x-7 =x^2 +5x +39
why were loyalist willing to support continued british rule but pariots were not ?
Which of the following supports the statement “I treat my workers like I treat my machines”? A) Machines and people cost lots of money so both must be respect