en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(4^{3/2)}

Solution

simplify

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

Solution

\frac{1}{8}

+1

Decimal Notation

0.125

Solution steps

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

Factor the number:

4 = 2^{2}

= \frac{1}{( 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}}

= \frac{1}{2 ^{2 \cdot \frac{3}{2}}}

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

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

2^{3} = 8

= \frac{1}{8}

Popular Examples

simplify (15x^7-10x^3+5x^4)/(5x^3)simplify

\frac{15 x ^{7} - 10 x ^{3} + 5 x ^{4}}{5 x ^{3}}

simplify-12\times (-8.6)-9.4 simplify

- 12 \times (- 8.6) - 9.4

simplify 23-4 simplify

23 - 4

simplify 24+9 simplify

24 + 9

simplify 25+4 simplify

25 + 4

Frequently Asked Questions (FAQ)

What is 1/(4^{3/2)} ?
The solution to 1/(4^{3/2)} is 1/8