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

The solution to (2ab^2c^2)(4a^3b^2c^2) is 8a^4b^4c^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

8 a^{4} b^{4} c^{4}

Solution steps

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

Apply exponent rule:

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

a a^{3} = a^{1 + 3}

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

Add the numbers:

1 + 3 = 4

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 2 = 4

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 2 = 4

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

Multiply the numbers:

2 \cdot 4 = 8

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

\frac{s ^{2}}{( s ^{2} + ω ^{2} ) ^{2}}

4.7 \cdot 1 0^{- 8}

2000 \cdot 1^{- 0.75}

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

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