Basic Math Examples

${(r^{\frac{1}{3}} \cdot s^{\frac{1}{3}})}^{2}$

Step 1

Apply the product rule to $r^{\frac{1}{3}} s^{\frac{1}{3}}$ .

${(r^{\frac{1}{3}})}^{2} {(s^{\frac{1}{3}})}^{2}$

Step 2

Multiply the exponents in ${(r^{\frac{1}{3}})}^{2}$ .

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Step 2.1

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

$r^{\frac{1}{3} \cdot 2} {(s^{\frac{1}{3}})}^{2}$

Step 2.2

Combine $\frac{1}{3}$ and $2$ .

$r^{\frac{2}{3}} {(s^{\frac{1}{3}})}^{2}$

Step 3

Multiply the exponents in ${(s^{\frac{1}{3}})}^{2}$ .

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Step 3.1

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

$r^{\frac{2}{3}} s^{\frac{1}{3} \cdot 2}$

Step 3.2

Combine $\frac{1}{3}$ and $2$ .

$r^{\frac{2}{3}} s^{\frac{2}{3}}$