Algebra Examples

${(\frac{x^{- 4 k}}{y^{5}})}^{0}$

Step 1

Apply the product rule to $\frac{x^{- 4 k}}{y^{5}}$ .

$\frac{{(x^{- 4 k})}^{0}}{{(y^{5})}^{0}}$

Step 2

Simplify the numerator.

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Step 2.1

Multiply the exponents in ${(x^{- 4 k})}^{0}$ .

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Step 2.1.1

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

$\frac{x^{- 4 k \cdot 0}}{{(y^{5})}^{0}}$

Step 2.1.2

Multiply $- 4 k \cdot 0$ .

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Step 2.1.2.1

Multiply $0$ by $- 4$ .

$\frac{x^{0 k}}{{(y^{5})}^{0}}$

Step 2.1.2.2

Multiply $0$ by $k$ .

$\frac{x^{0}}{{(y^{5})}^{0}}$

Step 2.2

Anything raised to $0$ is $1$ .

$\frac{1}{{(y^{5})}^{0}}$

Step 3

Simplify the denominator.

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Step 3.1

Multiply the exponents in ${(y^{5})}^{0}$ .

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Step 3.1.1

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

$\frac{1}{y^{5 \cdot 0}}$

Step 3.1.2

Multiply $5$ by $0$ .

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

Step 3.2

Anything raised to $0$ is $1$ .

$\frac{1}{1}$

Step 4

Divide $1$ by $1$ .

$1$