Evaluate 25^(3/2)

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Algebra

Evaluate 25^(3/2)

$25^{\frac{3}{2}}$

Simplify the expression.

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

${(5^{2})}^{\frac{3}{2}}$

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

$5^{2 (\frac{3}{2})}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$5^{2 (\frac{3}{2})}$

Rewrite the expression.

$5^{3}$

Raise $5$ to the power of $3$ .

$125$

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Write in Standard Form (-2x^4+7x^2y-7)+(-9x^3+7xy+7)