Simplify (3^-8)/(3^-4)

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

Move $3^{- 8}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{3^{- 4} \cdot 3^{8}}$

Multiply $3^{- 4}$ by $3^{8}$ by adding the exponents.

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

$\frac{1}{3^{- 4 + 8}}$

Add $- 4$ and $8$ .

$\frac{1}{3^{4}}$

Raise $3$ to the power of $4$ .

$\frac{1}{81}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{81}$

Decimal Form:

$0.01234567 \dots$