Question

Solve for x

X cubed =27/64

Answer 1

`$x=(3)/(4)`

Solution:

Given expression is
`x^3=(27)/(64)`.

To solve the expression and find the value of x.

`$\Rightarrow x^3=(27)/(64)`

27 can be written as 3 × 3 × 3 =
`3^3`

64 can be written as 4 × 4 × 4 =
`4^3`

`$\Rightarrow x^3=(3^3)/(4^3)`

Taking cube root on both sides of the function.

`$\Rightarrow\sqrt[3]{x^3}=\sqrt[3]{(3^3)/(4^3)}`

Cube and cube roots are cancelled.

`$\Rightarrow x=(3)/(4)`

Therefore,
`x=(3)/(4)`.