Question

how do i find out what (1/8)^(4/3) is equal to without using a calculator, i know it's 1/16, but how do i do it?

Answer 1

1/cuberoot(8)^4

Answer 2

the cube root of 8 is 2
2 to the fourth power is 16

Answer 3

thank you very much!!

Answer 4

1/8 = (1/2)^3
(1/8)^(4/3) = [(1/2)^3] ^(4/3) = (1/2) ^(3x4/3) = (1/2)^4 = 1/16

Answer 5

know your powers of 2

Answer 6

8 = 2x2x2 = 2^3