Algebra Examples

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

Step 1

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

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

Step 2

Simplify the denominator.

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Step 2.1

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

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Step 2.1.1

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

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

Step 2.1.2

Add $- 5$ and $6$ .

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

Step 2.2

Simplify $6^{1}$ .

$\frac{1}{6}$