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Popular >

simplify x(sqrt(x))^3

Solution

simplify

x (x)^{3}

Solution

x^{5}

Solution steps

x (x)^{3}

Simplify

(x)^{3} : x^{\frac{3}{2}}

= x x^{\frac{3}{2}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x x^{\frac{3}{2}} = x^{1 + \frac{3}{2}}

= x^{1 + \frac{3}{2}}

1 + \frac{3}{2} = \frac{5}{2}

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

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

= x^{5}

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Frequently Asked Questions (FAQ)

What is x(sqrt(x))^3 ?
The solution to x(sqrt(x))^3 is sqrt(x^5)