The prime factorization of a number is given. What is the number? See Example 9. 23 . 3...

The prime factorization of a number is given. What is the number? See Example 9.

2³ . 3² . 11

Reference Example 9

The prime factorization of a number is 2³ . 3⁴ . 5. What is the number?

Strategy To find the number, we will evaluate each exponential expression and then do the multiplication.

Why The exponential expressions must be evaluated first.

Solution

We can write the steps of the solutions in horizontal form.

2² . 3⁴ . 5 is the prime factorization of 3,240.