Precalculus Examples

${(\frac{6}{y^{2}})}^{0}$

Step 1

Simplify the expression.

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Step 1.1

Apply the product rule to $\frac{6}{y^{2}}$ .

$\frac{6^{0}}{{(y^{2})}^{0}}$

Step 1.2

Anything raised to $0$ is $1$ .

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

Step 2

Simplify the denominator.

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Step 2.1

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

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Step 2.1.1

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

$\frac{1}{y^{2 \cdot 0}}$

Step 2.1.2

Multiply $2$ by $0$ .

$\frac{1}{y^{0}}$

Step 2.2

Anything raised to $0$ is $1$ .

$\frac{1}{1}$

Step 3

Divide $1$ by $1$ .

$1$