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

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

Step 1

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

$\frac{a}{b^{- 1} \cdot 7^{2}}$

Step 2

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

$\frac{a b}{7^{2}}$

Step 3

Raise $7$ to the power of $2$ .

$\frac{a b}{49}$