Basic Math Examples

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

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 $\frac{1}{4 d}$ .

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

Step 1.2

Apply the product rule to $4 d$ .

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

Step 2

One to any power is one.

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

Step 3

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

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