AdriyanaF581771 AdriyanaF581771
  • 03-11-2022
  • Mathematics
contestada

If a ^20 = (a^n)^m, which of the following could be values for m and n?obA) m = -5, n = -4B) m = 10, n = 10C) m = 22, n = -2D) m = 15, n = 5d

Respuesta :

CreedenceU681705 CreedenceU681705
  • 03-11-2022

a ^20 = (a^n)^m

When we have a number raised to a power two time, we can multiply the powers;

(a^n)^m = a ^ (n x m)

So, since both sides have the same base:

a^20 = a^ (nxm)

20 = n x m

So, the product of n and m must be 20

A) -5 x -4 = 20

B) 10 x 10 =100

c) 22 x -2 =-44

d)15 x 5 = 75

The correct answer is A.

Answer Link

Otras preguntas

A coffee shop orders 212 boxes of coffee each bag month if there are 68 bags of coffee age box about how many bags of coffee do they order each month
Which one of the following functions is generally a responsibility assigned to the corporate treasurer?
What's the answer to this hard question?
Explain how industrialism changed the lives of workers
After serving as the commander of us forces in europe, dwight d. eisenhower a became the supreme commander of the allied expeditionary force. b served in the p
a days wait is a slice of life story explain the character of this type of story and give examples from the story to support and give examples from the story
what instruments need air forced through them to produce musical sound.
why do we have fossils for only a fraction of things on earth
Can someone please explain to me why the net force of the ball changes in the Y direction and not the X Direction? I made little diagram of how I think it shoul
Help me on 2Q the third one: I'll give you 15 points and list you as a brainlist if I can!