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

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

Step 1

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

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

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

Subtract $1$ from $- 1$ .

$\frac{b^{- 2}}{b^{2} \cdot b}$

Step 2

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

Multiply $b^{2}$ by $b$ .

Raise $b$ to the power of $1$ .

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

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

$\frac{b^{- 2}}{b^{2 + 1}}$

Add $2$ and $1$ .

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

Step 3

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

$\frac{1}{b^{3} b^{2}}$

Step 4

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

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

$\frac{1}{b^{3 + 2}}$

Add $3$ and $2$ .

$\frac{1}{b^{5}}$

Simplify (b^-1*b^-1)/(b^2*b)