Question

What is the value of the expression (2^4)^2?

Answer 1

Do inside parentheses first:

2^4 = 16

Now you have 16^2 = 256

Answer: 256

Answer 2

Answer:

• 256

Explanation:

$\dashrightarrow \sf \left(2^4\right)^2$

apply exponent rule: $\bold{\left(a^b\right)^c=a^{bc}}$

$\dashrightarrow \sf 2^{4*2}$

$\dashrightarrow \sf 2^{8}$

$\dashrightarrow \sf 256$

$\large{\boxed{(\sf 2^{4})^2 \ \ = \ \ 256}$