Algebra Examples

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

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 $\frac{1}{2 b}$ .

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

Step 1.2

Apply the product rule to $2 b$ .

$\frac{1^{0}}{2^{0} b^{0}}$

Step 2

Anything raised to $0$ is $1$ .

$\frac{1}{2^{0} b^{0}}$

Step 3

Simplify the denominator.

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Step 3.1

Anything raised to $0$ is $1$ .

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

Step 3.2

Anything raised to $0$ is $1$ .

$\frac{1}{1 \cdot 1}$

Step 3.3

Multiply $1$ by $1$ .

$\frac{1}{1}$

Step 4

Divide $1$ by $1$ .

$1$