Math  /  Algebra

QuestionSimplify the expression: (3225×532)2164×254\frac{\left(32^{\frac{2}{5}} \times 5^{\frac{3}{2}}\right)^{2}}{\sqrt[4]{16} \times \sqrt{25^{4}}}.

Studdy Solution
Finally, simplify the expression by canceling out the common terms in the numerator and the denominator.
24×532×54=24×534=23×5=8×5=85\frac{2^{4} \times5^{3}}{2^{} \times5^{4}} =2^{4-} \times5^{3-4} =2^{3} \times5^{-} =8 \times \frac{}{5} = \frac{8}{5}The simplified form of the given expression is 85\frac{8}{5}.

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