Basic Math Examples

${(a b^{2} c)}^{3}$

Step 1

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

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Step 1.1

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

${(a b^{2})}^{3} c^{3}$

Step 1.2

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

$a^{3} {(b^{2})}^{3} c^{3}$

Step 2

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

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Step 2.1

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

$a^{3} b^{2 \cdot 3} c^{3}$

Step 2.2

Multiply $2$ by $3$ .

$a^{3} b^{6} c^{3}$