Simplify x^2x^-5x

$x^{2} \cdot x^{- 5} \cdot x$

Multiply $x^{2}$ by $x^{- 5}$ by adding the exponents.

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

$x^{2 - 5} \cdot x$

Subtract $5$ from $2$ .

$x^{- 3} \cdot x$

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

Multiply $x^{- 3}$ by $x$ .

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

$x^{- 3} \cdot x^{1}$

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

$x^{- 3 + 1}$

Add $- 3$ and $1$ .

$x^{- 2}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Simplify x^2*x^-5*x