Basic Math Examples

${(\frac{p^{4}}{16})}^{0.75}$

Step 1

Apply the product rule to $\frac{p^{4}}{16}$ .

$\frac{{(p^{4})}^{0.75}}{16^{0.75}}$

Step 2

Multiply the exponents in ${(p^{4})}^{0.75}$ .

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Step 2.1

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

$\frac{p^{4 \cdot 0.75}}{16^{0.75}}$

Step 2.2

Multiply $4$ by $0.75$ .

$\frac{p^{3}}{16^{0.75}}$

Step 3

Raise $16$ to the power of $0.75$ .

$\frac{p^{3}}{8}$

Step 4

Multiply by $1$ .

$\frac{1 p^{3}}{8}$

Step 5

Factor $8$ out of $8$ .

$\frac{1 p^{3}}{8 (1)}$

Step 6

Separate fractions.

$\frac{1}{8} \cdot \frac{p^{3}}{1}$

Step 7

Divide $1$ by $8$ .

$0.125 \frac{p^{3}}{1}$

Step 8

Cancel the common factor of $0.125$ .

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Step 8.1

Factor $0.125$ out of $1$ .

$0.125 \frac{p^{3}}{0.125 \cdot 8}$

Step 8.2

Cancel the common factor.

$0.125 \frac{p^{3}}{0.125 \cdot 8}$

Step 8.3

Rewrite the expression.

$\frac{p^{3}}{8}$