Basic Math Examples

${({nm}^{2} \div 2 {nm}^{4})}^{4}$

Step 1

Combine fractions.

${(\frac{1}{2} {nm}^{6})}^{4}$

Step 2

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

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Step 2.1

Apply the product rule to $\frac{1}{2} {nm}^{6}$ .

${(\frac{1}{2})}^{4} {({nm}^{6})}^{4}$

Step 2.2

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

$\frac{1^{4}}{2^{4}} {({nm}^{6})}^{4}$

Step 3

One to any power is one.

$\frac{1}{2^{4}} {({nm}^{6})}^{4}$

Step 4

Raise $2$ to the power of $4$ .

$\frac{1}{16} {({nm}^{6})}^{4}$

Step 5

Multiply the exponents in ${({nm}^{6})}^{4}$ .

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Step 5.1

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

$\frac{1}{16} {nm}^{6 \cdot 4}$

Step 5.2

Multiply $6$ by $4$ .

$\frac{1}{16} {nm}^{24}$

Step 6

Divide $1$ by $16$ .

$0.0625 {nm}^{24}$