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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

2 x \cdot 5 x \cdot 3 x

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

Solution steps

2 x \cdot 5 x \cdot 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}}

e^{- 53}

e^{- 3 s}

(\frac{1}{2} a^{2}) (\frac{4}{5} a^{3} b)

e^{- 3 \cdot (1 - 0.67) 0.25}

0.05 \cdot 40 \cdot 1 0^{- 9} \frac{1}{100}

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