en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

9 x^{3}

Solution steps

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

3^{2} = 9

= 9 (x^{\frac{3}{2}})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(x^{\frac{3}{2}})^{2} = x^{\frac{3}{2} \cdot 2}

= 9 x^{\frac{3}{2} \cdot 2}

\frac{3}{2} \cdot 2 = 3

= 9 x^{3}

Popular Examples

factor 15ad+30a^2d^2 factor

15 a d + 30 a^{2} d^{2}

simplify 1/(3^{1/1)}simplify

\frac{1}{3 ^{\frac{1}{1}}}

3(1+4a)-8a=-2(-a+2)+7

3 (1 + 4 a) - 8 a = - 2 (- a + 2) + 7

simplify sqrt(75)+sqrt(3)simplify

75 + 3

9x^2-1-(3x-2)^2=0

9 x^{2} - 1 - (3 x - 2)^{2} = 0

Frequently Asked Questions (FAQ)

What is (3x^{3/2})^2 ?
The solution to (3x^{3/2})^2 is 9x^3