Question

Simplify to a single power of 2: (2²)^4

Answer 1

Answer:

$\bf\implies \: {2}^{8}$

Step-by-step explanation:

We know that,

The exponent (^) rule to solve this problem that is :

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

According to the question :-

$\bf \longrightarrow \: {(2^{2}) }^{4}$

$\bf \longrightarrow \: (2)^{2 \times 4}$

$\bf\longrightarrow \: {2}^{8} \: \boxed { \bf \: \red{ ans.}}$

Answer 2

Answer:

$\sf 2^{8}$

Step-by-step explanation:

Exponent rule:

             $\sf \boxed{(a^m)^n=a^{m*n}}$

To convert to single power, multiply the powers.

$\sf (2^2)^4= 2^{2*4}$

        $\sf =2^8$