en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5r^3*2r^{1/2}

Solution

simplify

5 r^{3} \cdot 2 r^{\frac{1}{2}}

Solution

10 r^{\frac{7}{2}}

Solution steps

5 r^{3} \cdot 2 r^{\frac{1}{2}}

Multiply the numbers:

5 \cdot 2 = 10

= 10 r^{3} r^{\frac{1}{2}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

= 10 r^{3 + \frac{1}{2}}

3 + \frac{1}{2} = \frac{7}{2}

= 10 r^{\frac{7}{2}}

Popular Examples

simplify 1111^2 simplify

111 1^{2}

simplify (55000)/(4pi*(7.5*10^{-3))^2}simplify

\frac{55000}{4 π \cdot ( 7.5 \cdot 1 0 ^{- 3} ) ^{2}}

simplify Dx[sqrt(3x+7)]simplify

D x [3 x + 7]

simplify (xsqrt(2))/x simplify

\frac{x 2}{x}

simplify 9*24 simplify

9 \cdot 24

Frequently Asked Questions (FAQ)

What is 5r^3*2r^{1/2} ?
The solution to 5r^3*2r^{1/2} is 10r^{7/2}