What is (3a^6b^2c)(2a^3bc) ?

The solution to (3a^6b^2c)(2a^3bc) is 6a^9b^3c^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3a^6b^2c)(2a^3bc)

simplify

(3 a^{6} b^{2} c) (2 a^{3} b c)

6 a^{9} b^{3} c^{2}

Solution steps

(3 a^{6} b^{2} c) (2 a^{3} b c)

Apply exponent rule:

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

a^{6} a^{3} = a^{6 + 3}

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

Add the numbers:

6 + 3 = 9

= 3 b^{2} c \cdot 2 a^{9} b c

Apply exponent rule:

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

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

= 3 c \cdot 2 a^{9} b^{2 + 1} c

Add the numbers:

2 + 1 = 3

= 3 c \cdot 2 a^{9} b^{3} c

Apply exponent rule:

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

cc = c^{1 + 1}

= 3 \cdot 2 a^{9} b^{3} c^{1 + 1}

Add the numbers:

1 + 1 = 2

= 3 \cdot 2 a^{9} b^{3} c^{2}

Multiply the numbers:

3 \cdot 2 = 6

= 6 a^{9} b^{3} c^{2}

198.5 \cdot 1 0^{- 12}

\frac{4}{3} π (1 0^{4})^{3}

e^{- (x - 1 + l n ∣ x - 1 ∣)}

3 \cdot 2 5^{- 0.5}

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