Evaluate (x^(-10/3))/(x^3)

$\frac{x^{- \frac{10}{3}}}{x^{3}}$

Move $x^{- \frac{10}{3}}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{x^{3} x^{\frac{10}{3}}}$

Multiply $x^{3}$ by $x^{\frac{10}{3}}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{1}{x^{3 + \frac{10}{3}}}$

To write $3$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{1}{x^{3 \cdot \frac{3}{3} + \frac{10}{3}}}$

Combine $3$ and $\frac{3}{3}$ .

$\frac{1}{x^{\frac{3 \cdot 3}{3} + \frac{10}{3}}}$

Combine the numerators over the common denominator.

$\frac{1}{x^{\frac{3 \cdot 3 + 10}{3}}}$

Simplify the numerator.

Multiply $3$ by $3$ .

$\frac{1}{x^{\frac{9 + 10}{3}}}$

Add $9$ and $10$ .

$\frac{1}{x^{\frac{19}{3}}}$