Evaluate (4/25)^(1/2)

${(\frac{4}{25})}^{\frac{1}{2}}$

Apply the product rule to $\frac{4}{25}$ .

$\frac{4^{\frac{1}{2}}}{25^{\frac{1}{2}}}$

Simplify the numerator.

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

$\frac{{(2^{2})}^{\frac{1}{2}}}{25^{\frac{1}{2}}}$

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

$\frac{2^{2 (\frac{1}{2})}}{25^{\frac{1}{2}}}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$\frac{2^{2 (\frac{1}{2})}}{25^{\frac{1}{2}}}$

Rewrite the expression.

$\frac{2^{1}}{25^{\frac{1}{2}}}$

Evaluate the exponent.

$\frac{2}{25^{\frac{1}{2}}}$

Simplify the denominator.

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Rewrite $25$ as $5^{2}$ .

$\frac{2}{{(5^{2})}^{\frac{1}{2}}}$

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

$\frac{2}{5^{2 (\frac{1}{2})}}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$\frac{2}{5^{2 (\frac{1}{2})}}$

Rewrite the expression.

$\frac{2}{5^{1}}$

Evaluate the exponent.

$\frac{2}{5}$

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{5}$

Decimal Form:

$0.4$

Evaluate (4/25)^(1/2)

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