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Express 32 as a power of 2?
25
What is the value of 32 to the power of 4?
324 = 1,048,576
What would be exponent for 3x3?
3 to the 2nd power or 32
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.
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?
