What is (5a^2b^3c)(2ab^4c^2) ?

The solution to (5a^2b^3c)(2ab^4c^2) is 10a^3b^7c^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

10 a^{3} b^{7} c^{3}

Solution steps

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

Apply exponent rule:

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

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

= 5 b^{3} c \cdot 2 a^{2 + 1} b^{4} c^{2}

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

b^{3} b^{4} = b^{3 + 4}

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

Add the numbers:

3 + 4 = 7

= 5 c \cdot 2 a^{3} b^{7} c^{2}

Apply exponent rule:

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

c c^{2} = c^{1 + 2}

= 5 \cdot 2 a^{3} b^{7} c^{1 + 2}

Add the numbers:

1 + 2 = 3

= 5 \cdot 2 a^{3} b^{7} c^{3}

Multiply the numbers:

5 \cdot 2 = 10

= 10 a^{3} b^{7} c^{3}

\frac{( e ^{x} )}{e ^{- x}}

\frac{- 40}{- 10}

e^{3} \cdot e^{7}

22.5 \cdot 1 0^{- 9}

What is (5a^2b^3c)(2ab^4c^2) ?
The solution to (5a^2b^3c)(2ab^4c^2) is 10a^3b^7c^3