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Popular >

simplify (\sqrt[3]{25})^{3/2}

Solution

simplify

Solution

5

Solution steps

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 2 5^{\frac{1}{3} \cdot \frac{3}{2}}

Cross-cancel:

3

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

Factor the number:

25 = 5^{2}

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}

(5^{2})^{\frac{1}{2}} = 5^{2 \cdot \frac{1}{2}} = 5

= 5

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Frequently Asked Questions (FAQ)

What is (\sqrt[3]{25})^{3/2} ?
The solution to (\sqrt[3]{25})^{3/2} is 5