Algebra Examples

$\frac{7^{- 2}}{7^{- 6}}$

Move $7^{- 6}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$7^{- 2} \cdot 7^{6}$

Multiply $7^{- 2}$ by $7^{6}$ by adding the exponents.

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

$7^{- 2 + 6}$

Add $- 2$ and $6$ .

$7^{4}$

Raise $7$ to the power of $4$ .

$2401$