Evaluate y^-8y^3x^0x^-2

$y^{- 8} y^{3} x^{0} x^{- 2}$

Multiply $y^{- 8}$ by $y^{3}$ by adding the exponents.

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

$y^{- 8 + 3} x^{0} x^{- 2}$

Add $- 8$ and $3$ .

$y^{- 5} x^{0} x^{- 2}$

Simplify $y^{- 5} x^{0} x^{- 2}$ .

$y^{- 5} x^{- 2}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{y^{5}} x^{- 2}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{y^{5}} \cdot \frac{1}{x^{2}}$

Combine.

$\frac{1 \cdot 1}{y^{5} x^{2}}$

Multiply $1$ by $1$ .

$\frac{1}{y^{5} x^{2}}$