How do you simplify #(3^9)/(3^5)#?
1 Answer
There are different ways to write it but the fraction ends up being equal to 81
Explanation:
First keep in mind that when we have an exponent, it means we are multiplying the base by itself the exponent's number of times. So for the question here, 3 is being multiplied by itself 9 times in the numerator and 5 times in the denominator. So I can write it like this:
and then we can cancel out some 3s and up seeing that there are four 3s left in the numerator:
Now we need not have done all this expansion - we can rewrite all this in a different way:
or this way:
