Simplify x^2xx^-5

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

Step 1

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

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

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

$x^{2} \cdot x^{1} \cdot x^{- 5}$

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

$x^{2 + 1} \cdot x^{- 5}$

Add $2$ and $1$ .

$x^{3} \cdot x^{- 5}$

Step 2

Multiply $x^{3}$ by $x^{- 5}$ by adding the exponents.

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

$x^{3 - 5}$

Subtract $5$ from $3$ .

$x^{- 2}$

Step 3

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

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

Simplify x^2*x*x^-5