Basic Math Examples

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

Step 1

Change the sign of the exponent by rewriting the base as its reciprocal.

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

Step 2

Simplify the expression.

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Step 2.1

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

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

Step 2.2

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

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

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

$5^{1}$

Step 4

Evaluate the exponent.

$5$