Simplify (7^-1)/(7^-2)

$\frac{7^{- 1}}{7^{- 2}}$

Move $7^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$7^{- 1} \cdot 7^{2}$

Multiply $7^{- 1}$ by $7^{2}$ by adding the exponents.

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

$7^{- 1 + 2}$

Add $- 1$ and $2$ .

$7^{1}$

Simplify $7^{1}$ .

$7$