Algebra Examples

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

Step 1

Simplify the numerator.

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Step 1.1

Anything raised to $0$ is $1$ .

$\frac{2 \cdot 1 y^{3}}{{(x^{0} y^{3})}^{4}}$

Step 1.2

Multiply $2$ by $1$ .

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

Step 2

Simplify the denominator.

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Step 2.1

Apply the product rule to $x^{0} y^{3}$ .

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

Step 2.2

Multiply the exponents in ${(x^{0})}^{4}$ .

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Step 2.2.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

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

Step 2.2.2

Multiply $0$ by $4$ .

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

Step 2.3

Anything raised to $0$ is $1$ .

$\frac{2 y^{3}}{1 {(y^{3})}^{4}}$

Step 2.4

Multiply the exponents in ${(y^{3})}^{4}$ .

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Step 2.4.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{2 y^{3}}{1 y^{3 \cdot 4}}$

Step 2.4.2

Multiply $3$ by $4$ .

$\frac{2 y^{3}}{1 y^{12}}$

Step 2.5

Multiply $y^{12}$ by $1$ .

$\frac{2 y^{3}}{y^{12}}$

Step 3

Cancel the common factor of $y^{3}$ and $y^{12}$ .

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Step 3.1

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

$\frac{y^{3} \cdot 2}{y^{12}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $y^{3}$ out of $y^{12}$ .

$\frac{y^{3} \cdot 2}{y^{3} y^{9}}$

Step 3.2.2

Cancel the common factor.

$\frac{y^{3} \cdot 2}{y^{3} y^{9}}$

Step 3.2.3

Rewrite the expression.

$\frac{2}{y^{9}}$