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Popular >

simplify (xsqrt(x))(3xsqrt(x))

Solution

simplify

(x x) (3 x x)

Solution

3 x^{3}

Solution steps

(x x) (3 x x)

Apply exponent rule:

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

xx = x^{1 + 1}

= x \cdot 3 x^{1 + 1} x

Add the numbers:

1 + 1 = 2

= x \cdot 3 x^{2} x

Apply radical rule:

a a = a

x x = x

= 3 x^{2} x

Apply exponent rule:

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

x^{2} x = x^{2 + 1}

= 3 x^{2 + 1}

Add the numbers:

2 + 1 = 3

= 3 x^{3}

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Frequently Asked Questions (FAQ)

What is (xsqrt(x))(3xsqrt(x)) ?
The solution to (xsqrt(x))(3xsqrt(x)) is 3x^3