Evaluate (x^8)/(x^-3*x^-6)

$\frac{x^{8}}{x^{- 3} \cdot x^{- 6}}$

Step 1

Multiply $x^{- 3}$ by $x^{- 6}$ by adding the exponents.

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

$\frac{x^{8}}{x^{- 3 - 6}}$

Subtract $6$ from $- 3$ .

$\frac{x^{8}}{x^{- 9}}$

Step 2

Move $x^{- 9}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$x^{8} x^{9}$

Step 3

Multiply $x^{8}$ by $x^{9}$ by adding the exponents.

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

$x^{8 + 9}$

Add $8$ and $9$ .

$x^{17}$