Algebra Examples

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

Step 1

Simplify the numerator.

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Step 1.1

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

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

Step 1.2

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

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

Step 1.3

Cancel the common factor of $2$ .

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Step 1.3.1

Cancel the common factor.

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

Step 1.3.2

Rewrite the expression.

$\frac{3 \cdot 4^{1}}{2}$

Step 1.4

Evaluate the exponent.

$\frac{3 \cdot 4}{2}$

Step 2

Simplify the expression.

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Step 2.1

Multiply $3$ by $4$ .

$\frac{12}{2}$

Step 2.2

Divide $12$ by $2$ .

$6$