Algebra Examples

${(4 x y^{2})}^{3}$

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

$4 x y^{2}$ .

${(4 x)}^{3} {(y^{2})}^{3}$

Step 1.2

Apply the product rule to

$4 x$ .

$4^{3} x^{3} {(y^{2})}^{3}$

Step 2

Raise

$4$ to the power of

$3$ .

$64 x^{3} {(y^{2})}^{3}$

Step 3

Multiply the exponents in

${(y^{2})}^{3}$ .

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Step 3.1

Apply the power rule and multiply exponents,

${(a^{m})}^{n} = a^{m n}$ .

$64 x^{3} y^{2 \cdot 3}$

Step 3.2

Multiply

$2$ by

$3$ .

$64 x^{3} y^{6}$

${(4 x y^{2})}^{3}$

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