Question

Which expression is equivalent to 16^3?

A. 2^7
B. 2^11
C. 2^12
D. 2^64

Answer 1

C

Explanation:

edg2021

Answer 2

For this case we must find an expression equivalent to:

`16 ^ 3`

We can rewrite 16 as
`2 * 2 * 2 * 2 = 2 ^ 4`

Rewriting the expression we have:

`(2 ^ 4) ^ 3 =`

By definition of power properties we have to:

`(a ^ n) ^ m = a ^ {n * m}`

So, we have:

`(2 ^ 4) ^ 3 = 2 ^ {12}`

Answer:

Option C