en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2mn)(3m^2n)

Solution

simplify

(2 mn) (3 m^{2} n)

Solution

6 m^{3} n^{2}

Solution steps

(2 mn) (3 m^{2} n)

Apply exponent rule:

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

m m^{2} = m^{1 + 2}

= 2 n \cdot 3 m^{1 + 2} n

Add the numbers:

1 + 2 = 3

= 2 n \cdot 3 m^{3} n

Apply exponent rule:

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

nn = n^{1 + 1}

= 2 \cdot 3 m^{3} n^{1 + 1}

Add the numbers:

1 + 1 = 2

= 2 \cdot 3 m^{3} n^{2}

Multiply the numbers:

2 \cdot 3 = 6

= 6 m^{3} n^{2}

Popular Examples

simplify (9rst^6u^6)(5rst^6u^7)simplify

(9 rs t^{6} u^{6}) (5 rs t^{6} u^{7})

simplify 3.43*10^{-8}simplify

3.43 \cdot 1 0^{- 8}

simplify 5e^{-(6^2)/2}simplify

5 e^{- \frac{6 ^{2}}{2}}

simplify (e^x-e^{-x})^{-1}simplify

(e^{x} - e^{- x})^{- 1}

simplify 10^{-7}*1e^9 simplify

1 0^{- 7} \cdot 1 e^{9}

Frequently Asked Questions (FAQ)

What is (2mn)(3m^2n) ?
The solution to (2mn)(3m^2n) is 6m^3n^2