en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

- 24

Solution steps

- 3 \cdot 4^{\frac{3}{2}}

Factor the number:

4 = 2^{2}

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

Apply exponent rule:

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

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

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

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

= - 3 \cdot 2^{3}

2^{3} = 8

= - 3 \cdot 8

Multiply the numbers:

- 3 \cdot 8 = - 24

= - 24

Popular Examples

- t = 9 (t - 10)

- 2 x - 2 \leq 4

simplify ((18/11))/((8/33))simplify

\frac{( \frac{18}{11} )}{( \frac{8}{33} )}

factor 45x^2-5 factor

45 x^{2} - 5

factor 2x^2+12x-32 factor

2 x^{2} + 12 x - 32

Frequently Asked Questions (FAQ)

What is simplify-3(4)^{3/2} ?
The solution to simplify-3(4)^{3/2} is -24