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

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

Step 1

Move $x^{- 4}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 2

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

Move $x^{4}$ .

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

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

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

Subtract $2$ from $4$ .

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