Basic Math Examples

$| \frac{{(\sqrt{\sqrt[6]{69}})}^{5} \cdot \frac{16}{11}}{3} |$

Step 1

Combine ${\sqrt{\sqrt[6]{69}}}^{5}$ and $\frac{16}{11}$ .

$| \frac{\frac{{\sqrt{\sqrt[6]{69}}}^{5} \cdot 16}{11}}{3} |$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $\sqrt{\sqrt[6]{69}}$ as $\sqrt[12]{69}$ .

$| \frac{\frac{{\sqrt[12]{69}}^{5} \cdot 16}{11}}{3} |$

Step 2.2

Rewrite ${\sqrt[12]{69}}^{5}$ as $\sqrt[12]{69^{5}}$ .

$| \frac{\frac{\sqrt[12]{69^{5}} \cdot 16}{11}}{3} |$

Step 2.3

Raise $69$ to the power of $5$ .

$| \frac{\frac{\sqrt[12]{1564031349} \cdot 16}{11}}{3} |$

Step 3

Move $16$ to the left of $\sqrt[12]{1564031349}$ .

$| \frac{\frac{16 \sqrt[12]{1564031349}}{11}}{3} |$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$| \frac{16 \sqrt[12]{1564031349}}{11} \cdot \frac{1}{3} |$

Step 5

Multiply $\frac{16 \sqrt[12]{1564031349}}{11} \cdot \frac{1}{3}$ .

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Step 5.1

Multiply $\frac{16 \sqrt[12]{1564031349}}{11}$ by $\frac{1}{3}$ .

$| \frac{16 \sqrt[12]{1564031349}}{11 \cdot 3} |$

Step 5.2

Multiply $11$ by $3$ .

$| \frac{16 \sqrt[12]{1564031349}}{33} |$

Step 6

$\frac{16 \sqrt[12]{1564031349}}{33}$ is approximately $2.83004384$ which is positive so remove the absolute value

$\frac{16 \sqrt[12]{1564031349}}{33}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{16 \sqrt[12]{1564031349}}{33}$

Decimal Form:

$2.83004384 \dots$