Simplify (2a^-4)/(5b^-2)

$\frac{2 a^{- 4}}{5 b^{- 2}}$

Step 1

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

$\frac{2}{5 b^{- 2} a^{4}}$

Step 2

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

$\frac{2 b^{2}}{5 a^{4}}$