What is an index law?
Some numbers can be written in mathematical shorthand
if the number is the product of "repeating numbers".
eg 100 is the product of 10 multiplying itself two times:
100 = 10 x 10
64 is the product of 2 multiplying itself six times.
64 = 2 x 2 x 2 x 2 x 2 x 2
These numbers can be written in shorthand.
Index Law 1:
Index Law 2:
Index Law 3:
Index Law 4:
Index Law 5:
Index Law 6:
The consistent is the refractive index between the two transparent media. Do My Essay. The sine of a point is a scientific relationship of the proportion between 2 sides of a privilege calculated triangle including that edge as are the cosine and digression.
Index form is another way of writing numbers, which sometimes looks neater, or simpler.
49 can be written as 72 for example, or 175,616 can be written as 563.
A number with a large index, such as 524, is a very big number. If we ever had to multiply something like 524 x 520, it would take a long time, look messy, and involve having to write out number with dozens of digits.
Luckily, we have discovered special rules which can make the calculation much easier. Provided the base number is the same, we can just add the indices together
e.g. 524 x 520 = 524+20 = 544
This doesn’t work if the base numbers are different
e.g. 524 x 720 is NOT 544, or 3544, or 1244
In algebra, we can do the same thing, provided the letter is the same:
e.g. y15 x y10 = y15+10 = y25
If we are dividing numbers in index form, we can subtract the indices.
e.g. y15 ÷ y10 = y15-10 = y5
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