Answer: OPTION C.
Step-by-step explanation:
According to the Quotient of powers Property, if you divide two numbers whose base is the same, you must rewrite the base and subtract the exponents. Observe:
[tex]\frac{a^m}{a^n}=a^{(m-n)}[/tex]
Notice that "a" is the base and "m" and "n" are the exponents.
Therefore, knowing this property, you can solve the exercise.
Given the following expression:
[tex]\frac{3^{15}}{3^3}[/tex]
You can notice that the base 3 is in the numerator and in the denominator, then you must apply the Quotient of powers Property and subtract the exponents.
You get that the result is:
[tex]=3^{(15-3)}=3^{12}[/tex]
