Simplify (p^8p)/(p^-1)

$\frac{p^{8} p}{p^{- 1}}$

Step 1

Multiply $p^{8}$ by $p$ by adding the exponents.

Multiply $p^{8}$ by $p$ .

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

$\frac{p^{8} p^{1}}{p^{- 1}}$

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

$\frac{p^{8 + 1}}{p^{- 1}}$

Add $8$ and $1$ .

$\frac{p^{9}}{p^{- 1}}$

Step 2

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

$p^{9} p$

Step 3

Multiply $p^{9}$ by $p$ by adding the exponents.

Multiply $p^{9}$ by $p$ .

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

$p^{9} p^{1}$

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

$p^{9 + 1}$

Add $9$ and $1$ .

$p^{10}$