SOLUTION: Why is it important to understand the rules for multiplying and dividing terms with exponents when multiplying rational expressions? Demonstrate why with an example.

Question 280267: Why is it important to understand the rules for multiplying and dividing terms with exponents when multiplying rational expressions? Demonstrate why with an example.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
When we write y^3 it means y * Y * Y ( y multiplied 3 times)
y^2 means y* y ( y multiplied 2 times)
Suppose you multiply y^3 by y^2
Then it will be y*y*y* y*y = y^5
But you have multiplied y^2*y^3
You will notice thaat the exponents are added
y^(2+3) = y^5

x^4* x^6 = x^(4+6) = x^10

Similary in division the exponent of denominator is dubtracted from the exponent of the numerator.
x^6 / x^2 = x^(6-2) = x^4
a^8 / a^5 = a^(8-5) = a^3

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