en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

2 a^{3} b^{5}

Solution steps

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

Apply exponent rule:

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

a^{2} a = a^{2 + 1}

= 2 b a^{2 + 1} b^{4}

Add the numbers:

2 + 1 = 3

= 2 b a^{3} b^{4}

Apply exponent rule:

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

b b^{4} = b^{1 + 4}

= 2 a^{3} b^{1 + 4}

Add the numbers:

1 + 4 = 5

= 2 a^{3} b^{5}

Popular Examples

simplify (2.5x10^{-3})(10x10^5)simplify

(2.5 x 1 0^{- 3}) (10 x 1 0^{5})

simplify (0.2)^2*Z^{-2}simplify

(0.2)^{2} \cdot Z^{- 2}

simplify e^{-1/2 x^2=k}simplify

e^{- \frac{1}{2} x^{2} = k}

simplify (e^{2x^2})^{-1}simplify

(e^{2 x^{2}})^{- 1}

simplify e^{-(0.031)(20)}simplify

e^{- (0.031) (20)}

Frequently Asked Questions (FAQ)

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