Simplify (4/x)^(1/2)

${(\frac{4}{x})}^{\frac{1}{2}}$

Step 1

Apply the product rule to $\frac{4}{x}$ .

$\frac{4^{\frac{1}{2}}}{x^{\frac{1}{2}}}$

Step 2

Simplify the numerator.

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

$\frac{{(2^{2})}^{\frac{1}{2}}}{x^{\frac{1}{2}}}$

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

$\frac{2^{2 (\frac{1}{2})}}{x^{\frac{1}{2}}}$

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2^{2 (\frac{1}{2})}}{x^{\frac{1}{2}}}$

Rewrite the expression.

$\frac{2^{1}}{x^{\frac{1}{2}}}$

Evaluate the exponent.

$\frac{2}{x^{\frac{1}{2}}}$