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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

10 a^{3} b^{4} c^{3}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

b^{2} b^{2} = b^{2 + 2}

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

Add the numbers:

2 + 2 = 4

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

Multiply the numbers:

5 \cdot 2 = 10

= 10 a^{3} b^{4} c^{3}

\frac{d}{d x} (e^{x y})

7 x^{2} y^{4} (12 x^{3} y)

e^{- 2 ∣ t ∣}

e^{- x} e^{x}

\frac{( x + 1 ) ^{2}}{x ^{2}}

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