Question

Simplify (3^4)^2
with explanation

Answer 1

Answer:

3^8

Step-by-step explanation:

(A^M)^N = A^MxN(Its a powered m multiplied with n)

so,

(3^4)^2 is

3^4x2

which is

3^8

hope that made sense :)

Answer 2

Answer:

=> $(3^4)^2$ = $(3)^8$

Step-by-step explanation:

Given that:-

$(3^4)^2$

As we have to simplify the above expression,

The given expression is in the form of,

$(a^m)^n$

Where, a = 3, m = 4 and n = 2

By using the law of indices:

$(a^m)^n=a^{m\times n}$

Now, substitute the given values:

=> $(3^4)^2=3^{4\times 2}$

Now, multiply the power $4$ with the power $2$,

=> $(3^4)^2$ = $(3)^8$