Simplify (xx^8y^-3)/(y^7)

$\frac{x \cdot x^{8} y^{- 3}}{y^{7}}$

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

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

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

$\frac{x^{1} x^{8} y^{- 3}}{y^{7}}$

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

$\frac{x^{1 + 8} y^{- 3}}{y^{7}}$

Add $1$ and $8$ .

$\frac{x^{9} y^{- 3}}{y^{7}}$

Move $y^{- 3}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{x^{9}}{y^{7} y^{3}}$

Multiply $y^{7}$ by $y^{3}$ by adding the exponents.

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

$\frac{x^{9}}{y^{7 + 3}}$

Add $7$ and $3$ .

$\frac{x^{9}}{y^{10}}$