Question

`{4}^(4) = {2}^(n)`
what number is n​

Answer 1

n = 8

Explanation:

Using the rule of exponents

`(a^(m)) ^(n)` =
`a^(mn)`

note that 4 = 2² , thus

`(2^(2)) ^(4)` =
`2^(n)` , that is

`2^(8)` =
`2^(n)`

Since bases on both sides are equal, equate the exponents

n = 8