Basic Math Examples

$54 {(\frac{n}{64})}^{\frac{1}{3}}$

Step 1

Apply the product rule to $\frac{n}{64}$ .

$54 \frac{n^{\frac{1}{3}}}{64^{\frac{1}{3}}}$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite $64$ as $4^{3}$ .

$54 \frac{n^{\frac{1}{3}}}{{(4^{3})}^{\frac{1}{3}}}$

Step 2.2

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

$54 \frac{n^{\frac{1}{3}}}{4^{3 (\frac{1}{3})}}$

Step 2.3

Cancel the common factor of $3$ .

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Step 2.3.1

Cancel the common factor.

$54 \frac{n^{\frac{1}{3}}}{4^{3 (\frac{1}{3})}}$

Step 2.3.2

Rewrite the expression.

$54 \frac{n^{\frac{1}{3}}}{4^{1}}$

Step 2.4

Evaluate the exponent.

$54 \frac{n^{\frac{1}{3}}}{4}$

Step 3

Simplify terms.

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Step 3.1

Cancel the common factor of $2$ .

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Step 3.1.1

Factor $2$ out of $54$ .

$2 (27) \frac{n^{\frac{1}{3}}}{4}$

Step 3.1.2

Factor $2$ out of $4$ .

$2 \cdot 27 \frac{n^{\frac{1}{3}}}{2 \cdot 2}$

Step 3.1.3

Cancel the common factor.

$2 \cdot 27 \frac{n^{\frac{1}{3}}}{2 \cdot 2}$

Step 3.1.4

Rewrite the expression.

$27 \frac{n^{\frac{1}{3}}}{2}$

Step 3.2

Combine $27$ and $\frac{n^{\frac{1}{3}}}{2}$ .

$\frac{27 n^{\frac{1}{3}}}{2}$