Find the Exact Value (-7)^(5/3)*(1/56)^(5/3)

${(- 7)}^{\frac{5}{3}} \cdot {(\frac{1}{56})}^{\frac{5}{3}}$

Step 1

Simplify the expression.

Apply the product rule to $\frac{1}{56}$ .

${(- 7)}^{\frac{5}{3}} \cdot \frac{1^{\frac{5}{3}}}{56^{\frac{5}{3}}}$

One to any power is one.

${(- 7)}^{\frac{5}{3}} \cdot \frac{1}{56^{\frac{5}{3}}}$

Step 2

Combine ${(- 7)}^{\frac{5}{3}}$ and $\frac{1}{56^{\frac{5}{3}}}$ .

$\frac{{(- 7)}^{\frac{5}{3}}}{56^{\frac{5}{3}}}$