Algebra Examples

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

Step 1

Anything raised to $0$ is $1$ .

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

Step 2

Simplify the denominator.

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Step 2.1

Apply the product rule to $2 y^{3} z^{0}$ .

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

Step 2.2

Apply the product rule to $2 y^{3}$ .

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

Step 2.3

Raise $2$ to the power of $4$ .

$\frac{x^{3} \cdot 1}{16 {(y^{3})}^{4} {(z^{0})}^{4}}$

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, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{x^{3} \cdot 1}{16 y^{3 \cdot 4} {(z^{0})}^{4}}$

Step 2.4.2

Multiply $3$ by $4$ .

$\frac{x^{3} \cdot 1}{16 y^{12} {(z^{0})}^{4}}$

Step 2.5

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

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Step 2.5.1

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

$\frac{x^{3} \cdot 1}{16 y^{12} z^{0 \cdot 4}}$

Step 2.5.2

Multiply $0$ by $4$ .

$\frac{x^{3} \cdot 1}{16 y^{12} z^{0}}$

Step 2.6

Anything raised to $0$ is $1$ .

$\frac{x^{3} \cdot 1}{16 y^{12} \cdot 1}$

Step 2.7

Multiply $16$ by $1$ .

$\frac{x^{3} \cdot 1}{16 y^{12}}$

Step 3

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

$\frac{x^{3}}{16 y^{12}}$