Simplify (750/512)^(1/3)

${(\frac{750}{512})}^{\frac{1}{3}}$

Cancel the common factor of $750$ and $512$ .

Factor $2$ out of $750$ .

${(\frac{2 (375)}{512})}^{\frac{1}{3}}$

Cancel the common factors.

Factor $2$ out of $512$ .

${(\frac{2 \cdot 375}{2 \cdot 256})}^{\frac{1}{3}}$

Cancel the common factor.

${(\frac{2 \cdot 375}{2 \cdot 256})}^{\frac{1}{3}}$

Rewrite the expression.

${(\frac{375}{256})}^{\frac{1}{3}}$

Apply the product rule to $\frac{375}{256}$ .

$\frac{375^{\frac{1}{3}}}{256^{\frac{1}{3}}}$

The result can be shown in multiple forms.

Exact Form:

$\frac{375^{\frac{1}{3}}}{256^{\frac{1}{3}}}$

Decimal Form:

$1.13570037 \dots$