Question

How do you simplify `3x^{-1/3}(x^{1/3}-4x^{4/3})`?

Answer 1

`3-12x`

Explanation:

To multiply in algebra:

Multiply the numbers and ADD the indices of like bases.

`3x^(-1/3)(x^(1/3) -4x^(4/3))`

`=3 * x^(-1/3+1/3) -12 * x^((-1/3+4/3))`

`=3x^0 -12x^1`

`=3-12x`