Convert the following to a rational exponent. What is your exponent in simplest form?

cuberoot(9^12)

a).3/12
b).1/4
c).4
d).12/3
I think the answer is is d.

2 answers

Would i have to simplify the fraction for the exponent? I know you are supposed to simplify, but I did not know if that was the case for this one. Because if 4 was the exponent, you would not be able to put the answer as cuberoot(9^12)
cuberoot(9^12)
= (9^12)^(1/3)
= 9^4
so what is the new exponent?
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