Basic Math Examples

$a^{- 1} - b^{- 1} a^{- 2} + a^{- 1} b^{- 1} + b^{- 2}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 3

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 4

Multiply $\frac{1}{a^{2}}$ by $\frac{1}{b}$ .

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

Step 5

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 6

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 7

Multiply $\frac{1}{a}$ by $\frac{1}{b}$ .

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

Step 8

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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