This is the question 9^5 (the five is an exponent)/9^2 (the two is an exponent) those two numbers are fractions. How am i supposed to write them in expanded notation?
9^5 / 9^2 = 9^3
(9^5)/(9^2) = 9^3 = 9 * 9 * 9 = 729 = 700 + 20 + 9
9^5 = 9 * 9 * 9 * 9 * 9 = 59049
9^2 = 9 * 9 = 81
9^5 / 9^2 = 59049 / 81 = 729
9^3 = 9 * 9 * 9 = 81 * 9 = 729
9^5 / 9^2 = 9^3 = 729
To write fractions in expanded notation, we need to express both the numerator and denominator as a product of their prime factors.
Let's start with the numerator:
9^5 = (3^2)^5
Since 3 is a prime number, we can further expand it as:
(3^2)^5 = 3^(2*5) = 3^10
Now let's move to the denominator:
9^2 = (3^2)^2
Similarly, we can expand it as:
(3^2)^2 = 3^(2*2) = 3^4
So, the expanded notation of the given fraction is:
(3^10) / (3^4)