Algebra Examples

$\frac{{(4 x^{2} y^{3})}^{0}}{8 x^{3}}$

Step 1

Apply the product rule to $4 x^{2} y^{3}$ .

$\frac{{(4 x^{2})}^{0} {(y^{3})}^{0}}{8 x^{3}}$

Step 2

Apply the product rule to $4 x^{2}$ .

$\frac{4^{0} {(x^{2})}^{0} {(y^{3})}^{0}}{8 x^{3}}$

Step 3

Anything raised to $0$ is $1$ .

$\frac{1 {(x^{2})}^{0} {(y^{3})}^{0}}{8 x^{3}}$

Step 4

Multiply ${(x^{2})}^{0}$ by $1$ .

$\frac{{(x^{2})}^{0} {(y^{3})}^{0}}{8 x^{3}}$

Step 5

Multiply the exponents in ${(x^{2})}^{0}$ .

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Step 5.1

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

$\frac{x^{2 \cdot 0} {(y^{3})}^{0}}{8 x^{3}}$

Step 5.2

Multiply $2$ by $0$ .

$\frac{x^{0} {(y^{3})}^{0}}{8 x^{3}}$

Step 6

Anything raised to $0$ is $1$ .

$\frac{1 {(y^{3})}^{0}}{8 x^{3}}$

Step 7

Multiply the exponents in ${(y^{3})}^{0}$ .

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Step 7.1

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

$\frac{1 y^{3 \cdot 0}}{8 x^{3}}$

Step 7.2

Multiply $3$ by $0$ .

$\frac{1 y^{0}}{8 x^{3}}$

Step 8

Anything raised to $0$ is $1$ .

$\frac{1 \cdot 1}{8 x^{3}}$

Step 9

Multiply $1$ by $1$ .

$\frac{1}{8 x^{3}}$