Question

Find the quotient 3^15/3^3

Answer 1

There is a property called "Quotient of powers property", which states that:

$\frac{a^m}{a^n}=a^{(m-n)}$

Where "a" is the common base and "m" and "n" are exponents.

For this case, you have:

$\frac{3^{(15)}}{3^3}$

Then, in order to find the quotient, you must apply the Quotient of powers property. You need to write the common base (in this case is 3) and then subtract the exponents.

So, you get that the quotient is:

$\frac{3^{(15)}}{3^3}=3^{(15-3)}=3^{(12)}$