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

The solution to (5ab)(3a^2b)(2a^3bc) is 30a^6b^3c

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

simplify

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

30 a^{6} b^{3} c

Solution steps

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

Apply exponent rule:

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

a a^{2} a^{3} = a^{1 + 2 + 3}

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

Add the numbers:

1 + 2 + 3 = 6

= 5 b \cdot 3 b \cdot 2 a^{6} b c

Apply exponent rule:

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

bbb = b^{1 + 1 + 1}

= 5 \cdot 3 \cdot 2 a^{6} b^{1 + 1 + 1} c

Add the numbers:

1 + 1 + 1 = 3

= 5 \cdot 3 \cdot 2 a^{6} b^{3} c

Multiply the numbers:

5 \cdot 3 \cdot 2 = 30

= 30 a^{6} b^{3} c

e^{- 9014 \cdot 0.00012}

e^{- 3.011}

7 e^{- 0.093 (26)}

x + 6 \cdot x + 4

What is (5ab)(3a^2b)(2a^3bc) ?
The solution to (5ab)(3a^2b)(2a^3bc) is 30a^6b^3c