en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (13/4)^{3/2}

Solution

simplify

(\frac{13}{4})^{\frac{3}{2}}

Solution

\frac{13 \cdot 1 3 ^{\frac{1}{2}}}{8}

+1

Decimal Notation

5.85902 \dots

Solution steps

(\frac{13}{4})^{\frac{3}{2}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

4^{\frac{3}{2}} = 8

= \frac{1 3 ^{\frac{3}{2}}}{8}

1 3^{\frac{3}{2}} = 13 \cdot 1 3^{\frac{1}{2}}

= \frac{13 \cdot 1 3 ^{\frac{1}{2}}}{8}

Popular Examples

factor 3x^2-2x-1 factor

3 x^{2} - 2 x - 1

factor (x^2+5x-24)/(x^2-x-6)factor

\frac{x ^{2} + 5 x - 24}{x ^{2} - x - 6}

z^{2} = 4

factor x^3-3x^2-28x factor

x^{3} - 3 x^{2} - 28 x

2(7x+8)=4(8x+9)

2 (7 x + 8) = 4 (8 x + 9)

Frequently Asked Questions (FAQ)

What is (13/4)^{3/2} ?
The solution to (13/4)^{3/2} is (13*13^{1/2})/8