What is (3a^2b^5c)(6a^7b^4c^8) ?

The solution to (3a^2b^5c)(6a^7b^4c^8) is 18a^9b^9c^9

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simplify (3a^2b^5c)(6a^7b^4c^8)

simplify

(3 a^{2} b^{5} c) (6 a^{7} b^{4} c^{8})

18 a^{9} b^{9} c^{9}

Solution steps

(3 a^{2} b^{5} c) (6 a^{7} b^{4} c^{8})

Apply exponent rule:

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

a^{2} a^{7} = a^{2 + 7}

= 3 b^{5} c \cdot 6 a^{2 + 7} b^{4} c^{8}

Add the numbers:

2 + 7 = 9

= 3 b^{5} c \cdot 6 a^{9} b^{4} c^{8}

Apply exponent rule:

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

b^{5} b^{4} = b^{5 + 4}

= 3 c \cdot 6 a^{9} b^{5 + 4} c^{8}

Add the numbers:

5 + 4 = 9

= 3 c \cdot 6 a^{9} b^{9} c^{8}

Apply exponent rule:

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

c c^{8} = c^{1 + 8}

= 3 \cdot 6 a^{9} b^{9} c^{1 + 8}

Add the numbers:

1 + 8 = 9

= 3 \cdot 6 a^{9} b^{9} c^{9}

Multiply the numbers:

3 \cdot 6 = 18

= 18 a^{9} b^{9} c^{9}

2 e^{x} \cdot e^{3 x}

70 e^{- 6}

0.2 \cdot 1 0^{- 2}

1.44 \cdot 1 0^{- 1}

What is (3a^2b^5c)(6a^7b^4c^8) ?
The solution to (3a^2b^5c)(6a^7b^4c^8) is 18a^9b^9c^9