Algebra Examples

$\frac{4 x^{- 3}}{2 y^{0}}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Move $x^{- 3}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{4}{2 y^{0} x^{3}}$

Step 1.2

Cancel the common factor of $4$ and $2$ .

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Step 1.2.1

Factor $2$ out of $4$ .

$\frac{2 \cdot 2}{2 y^{0} x^{3}}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $2$ out of $2 y^{0} x^{3}$ .

$\frac{2 \cdot 2}{2 (y^{0} x^{3})}$

Step 1.2.2.2

Cancel the common factor.

$\frac{2 \cdot 2}{2 (y^{0} x^{3})}$

Step 1.2.2.3

Rewrite the expression.

$\frac{2}{y^{0} x^{3}}$

Step 2

Simplify the denominator.

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Step 2.1

Anything raised to $0$ is $1$ .

$\frac{2}{1 x^{3}}$

Step 2.2

Multiply $x^{3}$ by $1$ .

$\frac{2}{x^{3}}$