en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-16)^{3/2}

Solution

simplify

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

Solution

- 64 i

Solution steps

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

Apply exponent rule:

a^{\frac{m}{n}} = (a^{\frac{1}{n}})^{m}

(- 16)^{\frac{3}{2}} = ((- 16)^{\frac{1}{2}})^{3}

= ((- 16)^{\frac{1}{2}})^{3}

(- 16)^{\frac{1}{2}} = 16 i

= (16 i)^{3}

Simplify

(16 i)^{3} : - 64 i

= - 64 i

Popular Examples

factor x^3-8x^2+9x+18 factor

x^{3} - 8 x^{2} + 9 x + 18

factor 5x^2-4x-12 factor

5 x^{2} - 4 x - 12

3 x^{2} - 2 = - 5 x

factor 2m^2-3m-9 factor

2 m^{2} - 3 m - 9

factor 4x^2-17x+18 factor

4 x^{2} - 17 x + 18

Frequently Asked Questions (FAQ)

What is (-16)^{3/2} ?
The solution to (-16)^{3/2} is -64i