Simplify (x*x^-2)/x

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

Step 1

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

Multiply $x$ by $x^{- 2}$ .

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

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

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

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

Subtract $2$ from $1$ .

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

Step 2

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

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

Step 3

Multiply $x$ by $x$ .

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