Evaluate (x^-6*x^7)/(x^6)

$\frac{x^{- 6} \cdot x^{7}}{x^{6}}$

Multiply $x^{- 6}$ by $x^{7}$ by adding the exponents.

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

$\frac{x^{- 6 + 7}}{x^{6}}$

Add $- 6$ and $7$ .

$\frac{x^{1}}{x^{6}}$

Simplify $x^{1}$ .

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

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

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

$\frac{x^{1}}{x^{6}}$

Factor $x$ out of $x^{1}$ .

$\frac{x \cdot 1}{x^{6}}$

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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