Algebra Examples

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

Step 1

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Tap for more steps...

Step 1.1

Apply the product rule to $\frac{a b^{2}}{c d^{3}}$ .

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

Step 1.2

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

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

Step 1.3

Apply the product rule to $c d^{3}$ .

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

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Anything raised to $0$ is $1$ .

$\frac{1 {(b^{2})}^{0}}{c^{0} {(d^{3})}^{0}}$

Step 2.2

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

Tap for more steps...

Step 2.2.1

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

$\frac{1 b^{2 \cdot 0}}{c^{0} {(d^{3})}^{0}}$

Step 2.2.2

Multiply $2$ by $0$ .

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

Step 2.3

Anything raised to $0$ is $1$ .

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

Step 2.4

Multiply $1$ by $1$ .

$\frac{1}{c^{0} {(d^{3})}^{0}}$

Step 3

Simplify the denominator.

Tap for more steps...

Step 3.1

Anything raised to $0$ is $1$ .

$\frac{1}{1 {(d^{3})}^{0}}$

Step 3.2

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

Tap for more steps...

Step 3.2.1

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

$\frac{1}{1 d^{3 \cdot 0}}$

Step 3.2.2

Multiply $3$ by $0$ .

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

Step 3.3

Anything raised to $0$ is $1$ .

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

Step 3.4

Multiply $1$ by $1$ .

$\frac{1}{1}$

Step 4

Divide $1$ by $1$ .

$1$