Simplify (x^6)/(x^-1*x^7)

$\frac{x^{6}}{x^{- 1} \cdot x^{7}}$

Step 1

Multiply $x^{- 1}$ by $x^{7}$ by adding the exponents.

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

$\frac{x^{6}}{x^{- 1 + 7}}$

Add $- 1$ and $7$ .

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

Step 2

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

Cancel the common factor.

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

Rewrite the expression.

$1$