Algebra Examples

${(\frac{2 a^{4} b^{3}}{c^{6}})}^{0}$

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 $\frac{2 a^{4} b^{3}}{c^{6}}$ .

$\frac{{(2 a^{4} b^{3})}^{0}}{{(c^{6})}^{0}}$

Step 1.2

Apply the product rule to $2 a^{4} b^{3}$ .

$\frac{{(2 a^{4})}^{0} {(b^{3})}^{0}}{{(c^{6})}^{0}}$

Step 1.3

Apply the product rule to $2 a^{4}$ .

$\frac{2^{0} {(a^{4})}^{0} {(b^{3})}^{0}}{{(c^{6})}^{0}}$

Step 2

Simplify the numerator.

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Step 2.1

Anything raised to $0$ is $1$ .

$\frac{1 {(a^{4})}^{0} {(b^{3})}^{0}}{{(c^{6})}^{0}}$

Step 2.2

Multiply the exponents in ${(a^{4})}^{0}$ .

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Step 2.2.1

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

$\frac{1 a^{4 \cdot 0} {(b^{3})}^{0}}{{(c^{6})}^{0}}$

Step 2.2.2

Multiply $4$ by $0$ .

$\frac{1 a^{0} {(b^{3})}^{0}}{{(c^{6})}^{0}}$

Step 2.3

Anything raised to $0$ is $1$ .

$\frac{1 \cdot 1 {(b^{3})}^{0}}{{(c^{6})}^{0}}$

Step 2.4

Multiply the exponents in ${(b^{3})}^{0}$ .

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Step 2.4.1

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

$\frac{1 \cdot 1 b^{3 \cdot 0}}{{(c^{6})}^{0}}$

Step 2.4.2

Multiply $3$ by $0$ .

$\frac{1 \cdot 1 b^{0}}{{(c^{6})}^{0}}$

Step 2.5

Anything raised to $0$ is $1$ .

$\frac{1 \cdot 1 \cdot 1}{{(c^{6})}^{0}}$

Step 2.6

Combine exponents.

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Step 2.6.1

Multiply $1$ by $1$ .

$\frac{1 \cdot 1}{{(c^{6})}^{0}}$

Step 2.6.2

Multiply $1$ by $1$ .

$\frac{1}{{(c^{6})}^{0}}$

Step 3

Simplify the denominator.

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Step 3.1

Multiply the exponents in ${(c^{6})}^{0}$ .

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Step 3.1.1

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

$\frac{1}{c^{6 \cdot 0}}$

Step 3.1.2

Multiply $6$ by $0$ .

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

Step 3.2

Anything raised to $0$ is $1$ .

$\frac{1}{1}$

Step 4

Divide $1$ by $1$ .

$1$