Simplify the following expression 2(12a2b3)32(12𝑎2𝑏3)3. A. 14a5b614𝑎5𝑏6B. a6b9𝑎6𝑏9C. 16a6b916𝑎6𝑏9D. 14a6b
Question
Simplify the following expression
2(12a^2b^3) + 32(12a^2b^3)
A. 14a^5b^6
B. a^6b^9
C. 16a^6b^9
D. 14a^6b
Solution
The expression you provided seems to have some formatting issues, but I'll try to simplify it based on what I understand:
2(12a^2b^3)^3
First, distribute the exponent of 3 inside the parentheses:
2(12^3 * a^(23) * b^(33))
This simplifies to:
2(1728a^6b^9)
Then, multiply the 2 into the parentheses:
3456a^6b^9
So, the simplified expression is 3456a^6b^9. This doesn't match any of the options you provided (A, B, C, D), so there might have been a mistake in the original expression or the answer choices.
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