Question

expres 8 raise to power -3 as a power with base 2

Answer 1

8 raise to power -3 = 1/8 raise to power 3

1/8 raise to power 3 = 1/512

1/512 = 1/ 2³×2³×2³ = 1/ 2⁹

1/2⁹ = (1/2)⁹

2 raise to power x = (1/2) raise to power -x

(1/2) raise. to power -x = (1/2)⁹

So , - x equals to 9

x = - 9

By some properties , we obtain x = -9