Hello!
The answer is:
The correct option is:
C) [tex](9^{3})^{3}=9^{9}[/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 need to keep the base and then, the new exponent will be the product between the two original exponents.
So, we are given the expression:
[tex](9^{3})^{3}[/tex]
Then, calculating we have:
[tex](9^{3})^{3}=9^{3*3}=9^{9}[/tex]
Hence, we have that the correct option is:
C) [tex](9^{3})^{3}=9^{9}[/tex]
Have a nice day!
