en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3a^2b(4a^5b^3)

Solution

simplify

3 a^{2} b (4 a^{5} b^{3})

Solution

12 a^{7} b^{4}

Solution steps

3 a^{2} b (4 a^{5} b^{3})

Apply exponent rule:

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

a^{2} a^{5} = a^{2 + 5}

= 3 b \cdot 4 a^{2 + 5} b^{3}

Add the numbers:

2 + 5 = 7

= 3 b \cdot 4 a^{7} b^{3}

Apply exponent rule:

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

b b^{3} = b^{1 + 3}

= 3 \cdot 4 a^{7} b^{1 + 3}

Add the numbers:

1 + 3 = 4

= 3 \cdot 4 a^{7} b^{4}

Multiply the numbers:

3 \cdot 4 = 12

= 12 a^{7} b^{4}

Popular Examples

simplify e^{-5.05x10^{24}}simplify

e^{- 5.05 x 1 0^{24}}

simplify 15e^{-250t}*40e^{-250t}simplify

15 e^{- 250 t} \cdot 40 e^{- 250 t}

simplify e^{-2t}8 simplify

e^{- 2 t} 8

simplify 1/3 e^{3x}*e^{3x}simplify

\frac{1}{3} e^{3 x} \cdot e^{3 x}

simplify-40.4*10^{-3}simplify

- 40.4 \cdot 1 0^{- 3}

Frequently Asked Questions (FAQ)

What is 3a^2b(4a^5b^3) ?
The solution to 3a^2b(4a^5b^3) is 12a^7b^4