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
32/80 / 8/8 = 4/10 / 2/2 = 2/5 two out of 5 aplicants
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.
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.
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?
2*2*3*3
2 to the fifth power is 32
Express 2 times 128 times 32 times 16 as an exponent of two
32
48 to 3248/32 = 48÷16/32÷16 = 3/2 = 3 : 2
30
2 x 1 = 2 2 x 2 = 4 4 x 2 = 8 8 x 2 = 16 16 x 2 = 32 The answer is 32. Also, you can enter "2 to the 5th power" into Google and Google Caculator pops up with the answer.
32
2^5 = 32
2^7
32 = 2^5 = 2^(2 × 5/2) = (2^2)^(5/2) = 4^(5/2) = 4^2.5 32 is 4 to the power of 2½ (or 2.5).
The normal method to determine the LCM of several numbers is to express each number in terms of its prime factors.4 = 2 x 2 = 2216 = 2 x 2 x 2 x 2 = 2432 = 2 x 2 x 2 x 2 x 2 = 25The LCM is the product of the highest power of each prime factor.In this case, '2' is the only prime factor and its highest power is 25 = 32.Then, 32 is the LCM of 4,16 and 32.