What is (2sqrt(x))(5sqrt(x))(3sqrt(x)) ?

The solution to (2sqrt(x))(5sqrt(x))(3sqrt(x)) is 30x^{3/2}

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simplify (2sqrt(x))(5sqrt(x))(3sqrt(x))

simplify

(2 x) (5 x) (3 x)

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

Solution steps

(2 x) (5 x) (3 x)

Apply exponent rule:

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

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

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

Combine the fractions

\frac{1}{2} + \frac{1}{2} + \frac{1}{2} : \frac{3}{2}

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

Multiply the numbers:

2 \cdot 5 \cdot 3 = 30

= 30 x^{\frac{3}{2}}

- 3 x^{2} y^{2} (4 x y)

(3 x^{4}) (\frac{1}{12} x^{2})

(4 x^{3} y^{5}) (3 x^{2} y^{3})

- 60.656 e^{- 0.0892 \cdot 5}

e^{- 2136}

What is (2sqrt(x))(5sqrt(x))(3sqrt(x)) ?
The solution to (2sqrt(x))(5sqrt(x))(3sqrt(x)) is 30x^{3/2}