Evaluate (x^6)/(x^-2*x^4)

$\frac{x^{6}}{x^{- 2} \cdot x^{4}}$

Step 1

Multiply $x^{- 2}$ by $x^{4}$ by adding the exponents.

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

$\frac{x^{6}}{x^{- 2 + 4}}$

Add $- 2$ and $4$ .

$\frac{x^{6}}{x^{2}}$

Step 2

Cancel the common factor of $x^{6}$ and $x^{2}$ .

Factor $x^{2}$ out of $x^{6}$ .

$\frac{x^{2} x^{4}}{x^{2}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{x^{2} x^{4}}{x^{2} \cdot 1}$

Cancel the common factor.

$\frac{x^{2} x^{4}}{x^{2} \cdot 1}$

Rewrite the expression.

$\frac{x^{4}}{1}$

Divide $x^{4}$ by $1$ .

$x^{4}$