Find the Exact Value (6^-6)/(6^-5)

$\frac{6^{- 6}}{6^{- 5}}$

Move $6^{- 6}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{6^{- 5} \cdot 6^{6}}$

Simplify the denominator.

Multiply $6^{- 5}$ by $6^{6}$ by adding the exponents.

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

$\frac{1}{6^{- 5 + 6}}$

Add $- 5$ and $6$ .

$\frac{1}{6^{1}}$

Simplify $6^{1}$ .

$\frac{1}{6}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{6}$

Decimal Form:

$0.1\overline{6}$