Finite Math Examples

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

Step 1

Apply the product rule to $2 x^{3}$ .

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

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $2^{3} {(x^{3})}^{3}$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

Step 3

Simplify the expression.

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Step 3.1

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

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

Step 3.2

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

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Step 3.2.1

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

$4 x^{3 \cdot 3}$

Step 3.2.2

Multiply $3$ by $3$ .

$4 x^{9}$