Basic Math Examples

p^{- 3} \div p^{- 5}

$p^{- 3} \div p^{- 5}$

Step 1

Rewrite the division as a fraction.

\frac{p^{- 3}}{p^{- 5}}

$\frac{p^{- 3}}{p^{- 5}}$

Step 2

Move

p^{- 5}

$p^{- 5}$ to the numerator using the negative exponent rule

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

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

p^{- 3} p^{5}

$p^{- 3} p^{5}$

Step 3

Multiply

p^{- 3}

$p^{- 3}$ by

p^{5}

$p^{5}$ by adding the exponents.

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Step 3.1

Use the power rule

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

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

p^{- 3 + 5}

$p^{- 3 + 5}$

Step 3.2

Add

- 3

$- 3$ and

5

$5$ .

p^{2}

$p^{2}$

p^{2}

$p^{2}$