Question

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

Answer 1

Answer:

D

Step-by-step explanation:

The question is of exponents, it is shown below:

$(2a^3b^4)^4$

We use the rule of exponents shown below to simplify this:

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

Using this rule we can simplify the problem as:

$(2a^3b^4)^4\\=2^4*(a^3)^4*(b^4)^4$

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

The rule is  $(a^b)^c=a^{(b*c)}$

Thus we have:

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

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