Finite Math Examples

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

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 2

Combine fractions.

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Step 2.1

Combine $x$ and $\frac{1}{y^{2}}$ .

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

Step 2.2

Simplify the expression.

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Step 2.2.1

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

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

Step 2.2.2

Anything raised to $0$ is $1$ .

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

Step 3

Simplify the denominator.

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Step 3.1

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

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Step 3.1.1

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

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

Step 3.1.2

Multiply $2$ by $0$ .

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

Step 3.2

Anything raised to $0$ is $1$ .

$\frac{1}{1}$

Step 4

Divide $1$ by $1$ .

$1$