Basic Math Examples

$p^{6} p \div p^{- 1}$

Step 1

Rewrite the division as a fraction.

$\frac{p^{6} p}{p^{- 1}}$

Step 2

Multiply $p^{6}$ by $p$ by adding the exponents.

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Step 2.1

Multiply $p^{6}$ by $p$ .

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Step 2.1.1

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

$\frac{p^{6} p^{1}}{p^{- 1}}$

Step 2.1.2

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

$\frac{p^{6 + 1}}{p^{- 1}}$

Step 2.2

Add $6$ and $1$ .

$\frac{p^{7}}{p^{- 1}}$

Step 3

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

$p^{7} p$

Step 4

Multiply $p^{7}$ by $p$ by adding the exponents.

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Step 4.1

Multiply $p^{7}$ by $p$ .

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Step 4.1.1

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

$p^{7} p^{1}$

Step 4.1.2

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

$p^{7 + 1}$

Step 4.2

Add $7$ and $1$ .

$p^{8}$