Algebra Examples

$3 {(x y^{- 2})}^{0}$

Step 1

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

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

Step 2

Combine fractions.

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Step 2.1

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

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

Step 2.2

Simplify the expression.

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Step 2.2.1

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

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

Step 2.2.2

Anything raised to $0$ is $1$ .

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

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

$3 \frac{1}{y^{2 \cdot 0}}$

Step 3.1.2

Multiply $2$ by $0$ .

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

Step 3.2

Anything raised to $0$ is $1$ .

$3 (\frac{1}{1})$

Step 4

Reduce the expression by cancelling the common factors.

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Step 4.1

Cancel the common factor of $1$ .

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Step 4.1.1

Cancel the common factor.

$3 (\frac{1}{1})$

Step 4.1.2

Rewrite the expression.

$3 \cdot 1$

Step 4.2

Multiply $3$ by $1$ .

$3$