Algebra Examples

${(12 x^{2} y)}^{0}$

Step 1

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

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Step 1.1

Apply the product rule to $12 x^{2} y$ .

${(12 x^{2})}^{0} y^{0}$

Step 1.2

Apply the product rule to $12 x^{2}$ .

$12^{0} {(x^{2})}^{0} y^{0}$

Step 2

Anything raised to $0$ is $1$ .

$1 {(x^{2})}^{0} y^{0}$

Step 3

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

${(x^{2})}^{0} y^{0}$

Step 4

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

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Step 4.1

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

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

Step 4.2

Multiply $2$ by $0$ .

$x^{0} y^{0}$

Step 5

Anything raised to $0$ is $1$ .

$1 y^{0}$

Step 6

Multiply $y^{0}$ by $1$ .

$y^{0}$

Step 7

Anything raised to $0$ is $1$ .

$1$