en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 36^{3/2}

Solution

simplify

3 6^{\frac{3}{2}}

Solution

216

Solution steps

3 6^{\frac{3}{2}}

Factor the number:

36 = 6^{2}

= (6^{2})^{\frac{3}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 6^{2 \cdot \frac{3}{2}}

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

= 6^{3}

6^{3} = 216

= 216

Popular Examples

simplify 6500(1+(0.028)/(12))^{12*2}simplify

6500 (1 + \frac{0.028}{12})^{12 \cdot 2}

simplify (x^{2/3})^{-3/4}simplify

(x^{\frac{2}{3}})^{- \frac{3}{4}}

4 (x - 2) = 12

factor-5x^2+11x+12 factor

- 5 x^{2} + 11 x + 12

(x+4)/(x-4)<= 0

\frac{x + 4}{x - 4} \leq 0

Frequently Asked Questions (FAQ)

What is 36^{3/2} ?
The solution to 36^{3/2} is 216