Which expression is equivalent to 16^3? A. 2^7 B. 2^11 C. 2^12 D. 2^64

Question

asked Feb 24, 2020 114k views

2 Answers

John Watson · Answer 1 · 2020-03-01T19:56:20+0000

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