SOLUTION: Please Help Me Solve This Problem: Simplify Each: y^-7 Thank you for your time and help !

Question 22969: Please Help Me Solve This Problem:
Simplify Each:
y^-7
Thank you for your time and help !
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
Have you done anything with the laws of exponents? For example, when you divide with the same base number, you subtract exponents:

If it had been can you see that if you subtract exponents you would have which could be written ?

This same problem could also be simplified as a fraction to be reduced by dividing out the five x factors in the numerator with five of the x factors in the denominator. In this method, all the x factors in the numerator divide out, and you would be left with a 1 in the numerator since they all divided out and seven factors of x left in the denominator:

What you have just done is derived the formula

In summary, any time you have a negative exponent, you get a fraction whose numerator is 1, and whose denominator is the same as the original problem but with a positive exponent. For examples:

R^2 at SCC
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