Question

What is the answer to (2³)³? Explain or show your work.

Answer 1

Answer:

(2³)³=512

because, 2³=8 & 8³=512

Answer 2

Answer:

512

Step-by-step explanation:

Ok, let's start by deciphering how powering works:

$a^3 = a \cdot a \cdot a\\a^b * a^c = a^{b+c}\textrm{; because it's "multiply a b times" multiplied by "multiply a c times"}\\(a^b)^c = a^{b\cdot c}\textrm{; because of the above}$

$(2^3)^3 = 2^{3\cdot3} = 2^9$

and because of KibiBytes existing, we know that 2^10 = 1024, so 2^9 will be equal to 1024/2=512