Simplify (x^(-3/4))/(x^-2)

$\frac{x^{- \frac{3}{4}}}{x^{- 2}}$

Move $x^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$x^{- \frac{3}{4}} x^{2}$

Multiply $x^{- \frac{3}{4}}$ by $x^{2}$ by adding the exponents.

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

$x^{- \frac{3}{4} + 2}$

To write $2$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$x^{- \frac{3}{4} + 2 \cdot \frac{4}{4}}$

Combine $2$ and $\frac{4}{4}$ .

$x^{- \frac{3}{4} + \frac{2 \cdot 4}{4}}$

Combine the numerators over the common denominator.

$x^{\frac{- 3 + 2 \cdot 4}{4}}$

Simplify the numerator.

Multiply $2$ by $4$ .

$x^{\frac{- 3 + 8}{4}}$

Add $- 3$ and $8$ .

$x^{\frac{5}{4}}$