Question

Solve x3 = 64 over 27.

Answer 1

The value of x is 4/3.

Explanation:

The given equation is

`x^3=(64)/(27)`

Taking cube root on both the sides.

`x=\sqrt[3]{(64)/(27)}`

Using the property of radical expression, we get

`x=\frac{\sqrt[3]{64}}{\sqrt[3]{27}}`
`[\because \sqrt[3]{(a)/(b)}=\frac{\sqrt[3]{a}}{\sqrt[3]{b}}]`

`x=(4)/(3)`

Therefore the value of x is 4/3.

Answer 2

x^3=64/27
x = 3√(64/27)
x = 4/3