Algebra Examples

$25^{\frac{5}{2}}$

Step 1

Simplify the expression.

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Step 1.1

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

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

Step 1.2

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

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

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

$5^{5}$

Step 3

Raise $5$ to the power of $5$ .

$3125$