Basic Math Examples

$\frac{(8) \cdot 2}{3} \cdot {(16)}^{\frac{1}{4}}$

Step 1

Simplify the expression.

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Step 1.1

Multiply $8$ by $2$ .

$\frac{16}{3} \cdot {(16)}^{\frac{1}{4}}$

Step 1.2

Rewrite $16$ as $2^{4}$ .

$\frac{16}{3} \cdot {(2^{4})}^{\frac{1}{4}}$

Step 1.3

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

$\frac{16}{3} \cdot 2^{4 (\frac{1}{4})}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Cancel the common factor.

$\frac{16}{3} \cdot 2^{4 (\frac{1}{4})}$

Step 2.2

Rewrite the expression.

$\frac{16}{3} \cdot 2^{1}$

Step 3

Evaluate the exponent.

$\frac{16}{3} \cdot 2$

Step 4

Multiply $\frac{16}{3} \cdot 2$ .

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Step 4.1

Combine $\frac{16}{3}$ and $2$ .

$\frac{16 \cdot 2}{3}$

Step 4.2

Multiply $16$ by $2$ .

$\frac{32}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{32}{3}$

Decimal Form:

$10.\overline{6}$

Mixed Number Form:

$10 \frac{2}{3}$