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How do you write 29.7 is 55 percent of what number as an equation?
55x/100 = 29.7 so 55x = 2970 so x = 2970/55
What is the prime factorization 2970?
Factor tree: 2970 2 x 1485 2 x 3 x 495 2 x 3 x 3 x 165 2 x 3 x 3 x 3 x 55 2 x 3 x 3 x 3 x 5 x 11 The prime factorization if 2970 is 2 x 3 x 3 x 3 x 5 x 11 or 2 x 33 x 5 x 11.
What is 495x6?
2970
How many gallons is a 18ft by 33ft by 5ft pool?
18 x 33 x 5 = 2970 cubic feet 1 cubic foot = 7.48052 gallons therefore, your pool is 22217.1 gallons
Why are there exponents?
Exponents (sometimes called powers or indices - the plural of index) are a simple and easy notation, and they save a lot of time. For exampe, say you wanted to write out a googol in full; that is, 10100. * Which is easier to do: that exponent, or 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10? * Another example is the opposite: 10-60, or 0.0000000000000000000000000000000000000000000000000000000000001? So exponents make life very easy for mathematicians, physicists, chemists, engineers and many other people that have to deal with large numbers on a regular basis. Another effect of using exponents is that multiplication is also easier. For 211 x 218, rather than work out 218 and 211 and then mulitply those large numbers together, we can simply add the exponents and then calculate the final result, i.e. 229 (which for the record, is 536870912). The opposite works for division as well; simply subtract the exponents to get the divided amount. They can be used in many other ways as well to make working very large or very small numbers much easier.
