# Which number is equivalent to 3^4/3^2??

##### 1 Answer
Dec 13, 2016

${3}^{4} / {2}^{2} = 9$

#### Explanation:

Using the property that ${a}^{m} / {a}^{n} = {a}^{m - n}$, we have

${3}^{4} / {2}^{2} = {3}^{4 - 2} = {3}^{2} = 9$

Note that if we evaluated the numerator and denominator first, we would arrive at the same result:

${3}^{4} / {3}^{2} = \frac{81}{9} = 9$