Okay I have to Express 140 (also 300) as a product of its prime factors using exponential notation, but I have no idea what it means so would one of you lovely people help me out? :o

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- November 26th 2005, 10:44 PMDanielleUrgent - Exponential notation
Okay I have to Express 140 (also 300) as a product of its prime factors using exponential notation, but I have no idea what it means so would one of you lovely people help me out? :o

- November 26th 2005, 11:44 PMrgep
Let's take 140 as an example. To find its prime factors we firstly divide it by 2 until it won't divide any further, then by 3, then by 5, then by 7, ... . We find that 2 divides twice with 35 as quotient, then 5 once with 7 as quotient, then 7 once with 1 as quotient; so stop. We have 140 = 2 x 2 x 5 x 7. The exponential notation says that if a number p occurs more than once in a repeated product, say t times, instead of writing p x p x ... x p (t times), you write p^t, which is keyboard for p with t written superscript (above and to the right). So 140 = 2^2 x 5 x 7. You could write 5^1 and 7^1 here, since 5 occurs 1 time and 7 occurs 1 time, but that would not save any ink. Simpler examples: 12 = 2^2 x 3; 100 = 2^2 x 5^2; 432 = 2^4 x 3^3.

- December 3rd 2005, 03:38 AMDanielle
Thankyou for your help! :)

- November 28th 2009, 02:31 AMPure Mage BmMathsMate 8 term 4 sheet 7 & 8
this is from MathsMate 8 term 4 sheet 7 & 8. Lol im doing the same ones right now.....(Happy)