Simplify (b^-5)/(a^0b^-8)

$\frac{b^{- 5}}{a^{0} b^{- 8}}$

Move $b^{- 8}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$b^{- 5} b^{8}$

Multiply $b^{- 5}$ by $b^{8}$ by adding the exponents.

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

$b^{- 5 + 8}$

Add $- 5$ and $8$ .

$b^{3}$

$b^{3}$

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