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Popular >

simplify x^2(sqrt(x))^3

Solution

simplify

x^{2} (x)^{3}

Solution

x^{7}

Solution steps

x^{2} (x)^{3}

Simplify

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

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

Apply exponent rule:

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

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

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

2 + \frac{3}{2} = \frac{7}{2}

= x^{\frac{7}{2}}

x^{\frac{7}{2}} = x^{7}

= x^{7}

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Frequently Asked Questions (FAQ)

What is x^2(sqrt(x))^3 ?
The solution to x^2(sqrt(x))^3 is sqrt(x^7)