Question

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

Answer 1

• 256

Step-by-step 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}`