Algebra Examples

$x^{4} y^{5} \cdot x^{- 6}$

Step 1

Multiply $x^{4}$ by $x^{- 6}$ by adding the exponents.

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Step 1.1

Move $x^{- 6}$ .

$x^{- 6} x^{4} y^{5}$

Step 1.2

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

$x^{- 6 + 4} y^{5}$

Step 1.3

Add $- 6$ and $4$ .

$x^{- 2} y^{5}$

Step 2

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

$\frac{1}{x^{2}} y^{5}$

Step 3

Combine $\frac{1}{x^{2}}$ and $y^{5}$ .

$\frac{y^{5}}{x^{2}}$