Order the following sets of numbers from least to greatest:
250^0, √525, (7^2-1)
To order the sets of numbers from least to greatest, we need to evaluate each expression and compare the results.
First, let's simplify each expression:
1. 250^0:
Any number raised to the power of 0 is equal to 1. So, 250^0 = 1.
2. √525:
To find the square root of 525, we can factorize the number. The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, and 525. Since 25 is a factor, we can simplify the square root as: √525 = √(25 * 21) = 5√21.
3. (7^2-1):
To evaluate this expression, we need to compute the exponent first: 7^2 = 7 * 7 = 49. Then, subtract 1: 49 - 1 = 48.
Now that we have simplified each expression, let's rank them from least to greatest:
1. 250^0 = 1
2. (7^2-1) = 48
3. √525 = 5√21
So, the correct order from least to greatest is: 1, 48, 5√21.