Basic Math Examples

${(\frac{1}{2} a^{2})}^{3}$

Step 1

Combine $\frac{1}{2}$ and $a^{2}$ .

${(\frac{a^{2}}{2})}^{3}$

Step 2

Simplify the expression.

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Step 2.1

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

$\frac{{(a^{2})}^{3}}{2^{3}}$

Step 2.2

Multiply the exponents in ${(a^{2})}^{3}$ .

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Step 2.2.1

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

$\frac{a^{2 \cdot 3}}{2^{3}}$

Step 2.2.2

Multiply $2$ by $3$ .

$\frac{a^{6}}{2^{3}}$

Step 2.3

Raise $2$ to the power of $3$ .

$\frac{a^{6}}{8}$