Cube root of 256 to the fourth power?

Answer 1

(256^(1/3))^(4) =

256^(4/3) =

256^(1.3333...... =

1625.498674..... ( The answer)

NB 256 raised to the power of 1/3 , means the 'cube root'. The answer is then raised to the fourth power.

However, under the rules for indices you can muktiply the indices together.

NNB Here are the indices rules.

a^(n) X a^(m) = a^(n+m)

a^(n) / a^(m) = a^(n - m)

(a^( n ))^(m) = a^(nm)

In all cases THE COEFFICIENT 'a' must be the same.

Answer 2

The cube root of 2564 is: 1,625.49868