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

What is one way that early scientific practice differed from modern scientific practice? Early hypotheses were not based on observations. Early hypotheses were
How to complete the square when a is greater than 1?
The product of 5 and 10 more than a number
How were the Spanish able to conquer and colonize the Americas?
Hector is 22 years older than his sister.in 5 year,he will be 3 times as old as she will be.how old are hector and his sister today?
Which is the better buy, 3 pounds for $8.31 or 5 pounds for $12.95 explain
A 230 kg steel crate is being pushed along a cement floor. The force of friction is 480 N to the left and the applied force is 1860 N to the right. What is the
What did the 38th demand of the Magna Carta (Primary Sources) basically say
Under schwartz's circumplex model, hedonism is a part of two different quadrants: ________ and ________
You have lunch with a friend who was recently promoted to a management position. “congratulations!” you say. but she looks at you and says, “i’m not so sure.”