Which expression is another way to write 29,625
29,625 can be written as 5^4.
To determine another way to write 29,625, let's break it down step by step:
Step 1: Start with the number 29,625.
Step 2: Notice that 29,625 is composite, meaning it can be divided evenly by other numbers besides 1 and itself.
Step 3: Look for factors of 29,625 by dividing it by numbers starting from 2 and going up to the square root of 29,625 (which is approximately 172).
Step 4: Determine the prime factors of 29,625 by dividing it repeatedly by the smallest prime factors.
Step 5: Express 29,625 as a product of its prime factors.
Using these steps, we find that the prime factorization of 29,625 is 3^2 x 5^4.
Therefore, another way to write 29,625 is 3^2 x 5^4.
To find another way to write 29,625, we can look at its prime factorization.
First, let's factorize 29,625. We start by dividing it by the smallest prime number, which is 2. However, 29,625 is an odd number, so it is not divisible by 2.
Next, we move to the next prime number, 3. 29,625 divided by 3 is equal to 9,875. We continue factoring 9,875 to find its prime factors.
Dividing 9,875 by 3 gives us 3,291.67, which is not a whole number. So we move on to the next prime number, 5.
Dividing 9,875 by 5 gives us 1,975. Finally, dividing 1,975 by 5 gives us 395.
Now we have reached a prime number, 395. We continue dividing it by prime numbers until we cannot divide any further.
Dividing 395 by 5 gives us 79, which is a prime number.
Therefore, the prime factorization of 29,625 is 3 * 3 * 5 * 5 * 5 * 79.
To find another way to write 29,625, we can express it as the product of its prime factors:
29,625 = 3^2 * 5^3 * 79
So, another way to write 29,625 is 3 squared multiplied by 5 cubed, multiplied by 79.