Question

Select the correct option: The value of $(3^m)^n$ , for every pair of integers (m,n), is
A. $3^{m+n}$
B. $3^{mn}$
C. $3^{mn}$
D. $3^m +3^n$

Answer 1

Answer:

option (B) is correct

Step-by-step explanation:

$(3^m)^n$

$=3^m\times\:3^m\times\:3^m........n\:times$

Using

$\boxed{a^ma^n=a^{m+n}}$

$=3^{m+m+m+........n\:times}$

$=3^{mn}$

$\implies\:\bf(3^m)^n=3^{mn}$

Answer 2

Answer:

A. $3^{m+n}$

Step-by-step explanation:

The value of $(3^m)^n$ , for every pair of integers (m,n), is

A. $3^{m+n}$ ✓

B. $3^{mn}$

C. $3^{mn}$

D. $3^m +3^n$