What is the cube root of -4096?

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Resolving 4096 into factors, we get

4096 = (222)(222)(222)(222)

= (2X2X2X2)3 = (16)3

Thus, 4096 = 16 16 16

Hence, -4096 = (-16) (-16) (-16)

Therefore the cube root of -4096 = -16.

Answered by  | 4th Jun, 2014, 03:23: PM