Basic Math Examples

$a^{- 1} + b^{- 1} \div a + b$

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

Rewrite the division as a fraction.

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

Step 1.3

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

$\frac{1}{a} + \frac{1}{a b} + b$

Step 2

Simplify the expression.

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Step 2.1

Move $\frac{1}{a b}$ .

$\frac{1}{a} + b + \frac{1}{a b}$

Step 2.2

Reorder $\frac{1}{a}$ and $b$ .

$b + \frac{1}{a} + \frac{1}{a b}$