Examples
When working with exponents in fractions and coefficients are not the same, look at ways to change them. These look hard until you look at the information. The coefficients are different. So, how to make them match? Look for multiples – what do the coefficients have in common; both are multiples of smaller coefficient. This is also an exercise in pattern recognition – the way numbers behave with each other.
36 /92 – Start with 36 then think how 9 is equal to 32 which makes 92 become
3(2*2). Now both coefficients are the same The problem becomes 36/34
Next, subtract the root from itself and the power – 36-4/34-4
Giving you: 32/30= 9/1=9. So, (36=729/92=81 … 729/81=9)
45 /162 – Start with 46 then think how 16 is equal to 42 which makes 162 become
4(2*2). Now both coefficients are the same The problem becomes 45/44
Next, subtract the root from itself and the power – 45-4/44-4
Giving you: 41/40= 4/1=4. So, (45=1,024/162=256 … 1,024/256=4)
55 /252 – Start with 55 then think how 25 is equal to 52 which makes 252 become
5(2*2). Now both coefficients are the same The problem becomes 55/54
Next, subtract the root from itself and the power – 55-4/54-4
Giving you: 51/50= 5/1=5. So, (55=3,125/252=625 … 3,125/625=5)
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