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Q: Express 32 as a power of 2?
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What is the simplest radical form of 3 square root 2?

3√2 is already in it's simplest form, but if you want to express it as a single radical, it would be: 3√2 = √(32)√2 = √(32 * 2) = √(9 * 2) = √18


Express the ratio in simplest form 32 chosen out of 80 applicants?

32/80 / 8/8 = 4/10 / 2/2 = 2/5 two out of 5 aplicants


Why does a number to the power of 0 equal 1?

There is a proof, but it is rather complicated to appear here. An intuitive way of thinking about it is to write a list of powers for any number (we'll use 2): Power: 1 2 3 4 5 Result: 2 4 8 16 32 What you can note is that the next power is calculated by multiplying the current power by the 2; so 25 = 32, 26 = (32 x 2) = 64. Working the other way, you can generate the previous power by dividing by 2; 25 = 32, 24 = (32 / 2) = 16. Using this last technique, 21 = 2, 20 = (2/2) = 1. It should be easy to see that this is true for any number x1 = x and x0 = (x/x) = 1.


2 to the negative first power?

A negative power/index/exponent simply inverts the expression and the power now becomes a positive number. 2-1 = 1/21 = 1/2 = 0.5 Note : This also applies if the term is the denominator. For example : 1/3-2 = 32 = 9.


What 2 squared numbers equal 1024?

Ah, let's paint a happy little math problem here! To find two squared numbers that equal 1024, we simply need to think of numbers that, when multiplied by themselves, give us 1024. In this case, the numbers are 32 and 32, because 32 squared equals 1024. Isn't that just delightful?