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Popular >

simplify 2a(3a^4b)(6a^7b)

Solution

simplify

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

Solution

36 a^{12} b^{2}

Solution steps

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

Apply exponent rule:

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

a a^{4} a^{7} = a^{1 + 4 + 7}

= 2 \cdot 3 b \cdot 6 a^{1 + 4 + 7} b

Add the numbers:

1 + 4 + 7 = 12

= 2 \cdot 3 b \cdot 6 a^{12} b

Apply exponent rule:

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

bb = b^{1 + 1}

= 2 \cdot 3 \cdot 6 a^{12} b^{1 + 1}

Add the numbers:

1 + 1 = 2

= 2 \cdot 3 \cdot 6 a^{12} b^{2}

Multiply the numbers:

2 \cdot 3 \cdot 6 = 36

= 36 a^{12} b^{2}

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Frequently Asked Questions (FAQ)

What is 2a(3a^4b)(6a^7b) ?
The solution to 2a(3a^4b)(6a^7b) is 36a^{12}b^2