Basic Math Examples

a^{2} \div a^{- 1}

$a^{2} \div a^{- 1}$

Step 1

Rewrite the division as a fraction.

\frac{a^{2}}{a^{- 1}}

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

Step 2

Move

a^{- 1}

$a^{- 1}$ to the numerator using the negative exponent rule

\frac{1}{b^{- n}} = b^{n}

$\frac{1}{b^{- n}} = b^{n}$ .

a^{2} a

$a^{2} a$

Step 3

Multiply

a^{2}

$a^{2}$ by

a

$a$ by adding the exponents.

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Step 3.1

Multiply

a^{2}

$a^{2}$ by

a

$a$ .

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Step 3.1.1

Raise

a

$a$ to the power of

1

$1$ .

a^{2} a^{1}

$a^{2} a^{1}$

Step 3.1.2

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

a^{2 + 1}

$a^{2 + 1}$

a^{2 + 1}

$a^{2 + 1}$

Step 3.2

Add

2

$2$ and

1

$1$ .

a^{3}

$a^{3}$

a^{3}

$a^{3}$