Hello!
The answer is:
The correct option is:
D) [tex](3^{2})^{6}=3^{12}[/tex]
Why?
To solve the problem, we need to remember the power of a power property, it's defined by the following way:
[tex](a^{m})^{n}=a^{m*n}[/tex]
When we have a power of a power, we must keep the base and then, the new exponent will be the product between the two original exponents.
So, we are given the expression:
[tex](3^{2})^{6}[/tex]
Then, calculating we have:
[tex](3^{2})^{6}=3^{2*6}=3^{12}[/tex]
Hence, we have that the correct option is:
D) [tex](3^{2})^{6}=3^{12}[/tex]
