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 are pteridophytes?​
A Toffee costs 15% more than a mint costs & 80. What is the price of a Toffee​
Do you think a casual language register would ever be appropriate for a Nobel speech?
Read the excerpt from Team Moon. The trouble with option 2 was that the venting might push the fuel to an unstable condition. Or, another possible outcome of th
which type of food molecule provides components for cellular structures like plasma membranes, myelin sheaths, and steroid hormones?
what was the shortest battle in WW2​
I need help ASAP please
Sally and Susie are astronauts. They went outside the space station to fix something. Although they can see each other, but they couldn’t hear each other. Expla
whose name is associated with positive psychology?
what legal limitations did women face in the 19th-century and what gender-inequality issues do women face today?