en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

8 a^{6} b^{4}

Solution steps

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

Apply exponent rule:

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

a^{2} a^{4} = a^{2 + 4}

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

Add the numbers:

2 + 4 = 6

= 4 b^{3} \cdot 2 a^{6} b

Apply exponent rule:

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

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

= 4 \cdot 2 a^{6} b^{3 + 1}

Add the numbers:

3 + 1 = 4

= 4 \cdot 2 a^{6} b^{4}

Multiply the numbers:

4 \cdot 2 = 8

= 8 a^{6} b^{4}

Popular Examples

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

e^{- \frac{1}{- 1}}

simplify (628318.53)(1*10^{-3})simplify

(628318.53) (1 \cdot 1 0^{- 3})

simplify te^{-t}sin(3t)simplify

t e^{- t} sin (3 t)

simplify e^{-21.05095}simplify

e^{- 21.05095}

simplify (1.5x^2y)*(0.3xy^2)simplify

(1.5 x^{2} y) \cdot (0.3 x y^{2})

Frequently Asked Questions (FAQ)

What is (4a^2b^3)(2a^4b) ?
The solution to (4a^2b^3)(2a^4b) is 8a^6b^4