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 type of muscle is used primarily for voluntary actions? A) skeletal B) smooth C) Cardiac D) both B and C
Write: (8•10^-5)(5•10^-6) in scientific notation. Can someone help?
The value of a house is $165,000 and it loses 4% of its value every year. A. Use the exponential decay formula below to write a function for the home's value, y
What type of election was held on tuesday nov. 3, 2015 and what types of races were on the ballot?
Help!!!!!!!!!!!!!!!!!!!!!
How did Gandhi bring positive change to India during his life?
What are the branches of economics?
For the point (6, -12), what is y? A. -12 B. -6 C. 6 D. 12
_____ and its champion, the Centre D'Art, became a driving force behind the Haitian Art industry as a whole by bringing worldwide attention towards the small na
These questions mess me up badly