Basic Math Examples

$\frac{13.5}{54 {(\frac{d}{64})}^{\frac{1}{3}}}$

Step 1

Simplify the denominator.

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Step 1.1

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

$\frac{13.5}{54 \frac{d^{\frac{1}{3}}}{64^{\frac{1}{3}}}}$

Step 1.2

Simplify the denominator.

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Step 1.2.1

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

$\frac{13.5}{54 \frac{d^{\frac{1}{3}}}{{(4^{3})}^{\frac{1}{3}}}}$

Step 1.2.2

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

$\frac{13.5}{54 \frac{d^{\frac{1}{3}}}{4^{3 (\frac{1}{3})}}}$

Step 1.2.3

Cancel the common factor of $3$ .

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Step 1.2.3.1

Cancel the common factor.

$\frac{13.5}{54 \frac{d^{\frac{1}{3}}}{4^{3 (\frac{1}{3})}}}$

Step 1.2.3.2

Rewrite the expression.

$\frac{13.5}{54 \frac{d^{\frac{1}{3}}}{4^{1}}}$

Step 1.2.4

Evaluate the exponent.

$\frac{13.5}{54 \frac{d^{\frac{1}{3}}}{4}}$

Step 2

Simplify terms.

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Step 2.1

Combine $54$ and $\frac{d^{\frac{1}{3}}}{4}$ .

$\frac{13.5}{\frac{54 d^{\frac{1}{3}}}{4}}$

Step 2.2

Reduce the expression $\frac{54 d^{\frac{1}{3}}}{4}$ by cancelling the common factors.

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Step 2.2.1

Factor $2$ out of $54 d^{\frac{1}{3}}$ .

$\frac{13.5}{\frac{2 (27 d^{\frac{1}{3}})}{4}}$

Step 2.2.2

Factor $2$ out of $4$ .

$\frac{13.5}{\frac{2 (27 d^{\frac{1}{3}})}{2 (2)}}$

Step 2.2.3

Cancel the common factor.

$\frac{13.5}{\frac{2 (27 d^{\frac{1}{3}})}{2 \cdot 2}}$

Step 2.2.4

Rewrite the expression.

$\frac{13.5}{\frac{27 d^{\frac{1}{3}}}{2}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$13.5 \frac{2}{27 d^{\frac{1}{3}}}$

Step 4

Cancel the common factor of $13.5$ .

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Step 4.1

Factor $13.5$ out of $27 d^{\frac{1}{3}}$ .

$13.5 \frac{2}{13.5 (2 d^{\frac{1}{3}})}$

Step 4.2

Cancel the common factor.

$13.5 \frac{2}{13.5 (2 d^{\frac{1}{3}})}$

Step 4.3

Rewrite the expression.

$\frac{2}{2 d^{\frac{1}{3}}}$

Step 5

Cancel the common factor.

$\frac{2}{2 d^{\frac{1}{3}}}$

Step 6

Rewrite the expression.

$\frac{1}{d^{\frac{1}{3}}}$