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lora16 [44]
2 years ago
4

Question: (2a3b4)4= A. 2a7b8 B. 8a12b16 C. 16a7b8 D. 16a12b16 E. I don't know.

Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
6 0

Answer:

D


Step-by-step explanation:

The question is of exponents, it is shown below:

(2a^3b^4)^4


<em>We use the rule of exponents shown below to simplify this:</em>

The rule is (ab)^x=a^x*b^x

<em>Using this rule we can simplify the problem as:</em>

<em>(2a^3b^4)^4\\=2^4*(a^3)^4*(b^4)^4</em>

<em>Now we can use another rule of exponents shown below to simplify further and get our answer:</em>

The rule is  (a^b)^c=a^{(b*c)}

<em>Thus we have:</em>

2^4*(a^3)^4*(b^4)^4\\=16*a^{12}*b^{16}


Thus the answer is 16*a^{12}*b^{16}, which is option D.


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