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Popular >

simplify sqrt((5cde))^3

Solution

simplify

(5 c d e)^{3}

Solution

55 (d ec)^{\frac{3}{2}}

Solution steps

((5 c d e))^{3}

Apply radical rule:

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

= (((5 c d e))^{\frac{1}{2}})^{3}

Apply exponent rule:

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

= ((5 c d e))^{\frac{1}{2} \cdot 3}

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

= ((5 c d e))^{\frac{3}{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 5^{\frac{3}{2}} (d ec)^{\frac{3}{2}}

5^{\frac{3}{2}} = 55

= 55 (d ec)^{\frac{3}{2}}

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Frequently Asked Questions (FAQ)

What is sqrt((5cde))^3 ?
The solution to sqrt((5cde))^3 is 5sqrt(5)(dec)^{3/2}