Evaluate (5b^-2)/(b^-3)

$\frac{5 b^{- 2}}{b^{- 3}}$

Step 1

Move $b^{- 3}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$5 b^{- 2} b^{3}$

Step 2

Multiply $b^{- 2}$ by $b^{3}$ by adding the exponents.

Move $b^{3}$ .

$5 (b^{3} b^{- 2})$

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

$5 b^{3 - 2}$

Subtract $2$ from $3$ .

$5 b^{1}$

Step 3

Simplify $5 b^{1}$ .

$5 b$