Question

Simplify the product using the rules for exponents. (4^2)^4

Answer 1

Answer ↓

`\Large\text{65,536}`

Calculations ↓

In order to simplify this expression , we have to multiply the powers (notice that we have a power to a power)

Simplify as follows :

(4²)⁴ = 4⁽²ˣ⁴)=4⁸

4 times itself 8 times simplifies to :

65,536

`\footnotesize\text{hope\:helpful~}`

Answer 2

`(4^2)^4 = 4^( (2 * 4)) = 4^8 = 65536`