Algebra Examples

$\frac{x^{3} x^{- 4} y \cdot y}{1}$

Step 1

Multiply $x^{3}$ by $x^{- 4}$ by adding the exponents.

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Step 1.1

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

$\frac{x^{3 - 4} y \cdot y}{1}$

Step 1.2

Subtract $4$ from $3$ .

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

Step 2

Multiply $y$ by $y$ by adding the exponents.

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Step 2.1

Move $y$ .

$\frac{x^{- 1} (y \cdot y)}{1}$

Step 2.2

Multiply $y$ by $y$ .

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

Step 3

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

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