Algebra Examples

$\frac{{(m^{2} n^{\frac{1}{2}})}^{0}}{n^{\frac{3}{4}}}$

Step 1

Apply the product rule to $m^{2} n^{\frac{1}{2}}$ .

$\frac{{(m^{2})}^{0} {(n^{\frac{1}{2}})}^{0}}{n^{\frac{3}{4}}}$

Step 2

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

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Step 2.1

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

$\frac{m^{2 \cdot 0} {(n^{\frac{1}{2}})}^{0}}{n^{\frac{3}{4}}}$

Step 2.2

Multiply $2$ by $0$ .

$\frac{m^{0} {(n^{\frac{1}{2}})}^{0}}{n^{\frac{3}{4}}}$

Step 3

Anything raised to $0$ is $1$ .

$\frac{1 {(n^{\frac{1}{2}})}^{0}}{n^{\frac{3}{4}}}$

Step 4

Multiply the exponents in ${(n^{\frac{1}{2}})}^{0}$ .

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Step 4.1

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

$\frac{1 n^{\frac{1}{2} \cdot 0}}{n^{\frac{3}{4}}}$

Step 4.2

Multiply $\frac{1}{2}$ by $0$ .

$\frac{1 n^{0}}{n^{\frac{3}{4}}}$

Step 5

Anything raised to $0$ is $1$ .

$\frac{1 \cdot 1}{n^{\frac{3}{4}}}$

Step 6

Multiply $1$ by $1$ .

$\frac{1}{n^{\frac{3}{4}}}$