en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-4)^{5/2}

Solution

simplify

(- 4)^{\frac{5}{2}}

Solution

32 i

Solution steps

(- 4)^{\frac{5}{2}}

Apply exponent rule:

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

(- 4)^{\frac{5}{2}} = ((- 4)^{\frac{1}{2}})^{5}

= ((- 4)^{\frac{1}{2}})^{5}

(- 4)^{\frac{1}{2}} = 4 i

= (4 i)^{5}

Simplify

(4 i)^{5} : 32 i

= 32 i

Popular Examples

simplify 32^{1/4}simplify

3 2^{\frac{1}{4}}

(x - 3)^{2} - 64 = 0

factor 25r^3+30r^2-30r-36 factor

25 r^{3} + 30 r^{2} - 30 r - 36

simplify-10*1.7 simplify

- 10 \cdot 1.7

factor-x^2+x+12 factor

- x^{2} + x + 12

Frequently Asked Questions (FAQ)

What is (-4)^{5/2} ?
The solution to (-4)^{5/2} is 32i