Multiplying fractions with exponents? Hi everyone, I'm watching an online instructor on MyMathLab going over rules of exponents. He does one thing near the end that I just don't get.
For the following problem...
8y^6/y^6 multiplied times y^2/25x^-4 (that's 8y to the sixth over y to the 6th times y squared over 25 x to the negative fourth)
Using the quotient rule for exponents he subtracts the negative four from 6 (6-(-4)) to make 8y^10th on top BUT he subtracts the y exponent from the numerator from the y exponent in the denominator? In other words instead of subtracting the y exponent of six from two, he does the opposite. His final solution is 8x^10/25y^4 while I came up with 8x^10/25y^-4 ...which would then lead me to put y^4 in the numerator to make 8x^10y^4/25
In fact he very quickly refers to it as a shortcut of sort but doesn't explain it, he just does it and blazes on to the next problem. I really want to understand this before I move ahead. Thanks :)
BTW if anyone is using MyMathLab for school (Intermediate college algebra). It is the Chapter 5, section 1 lecture at approx. 15:45 or so.
Simplifying fractions is very important in mathematics because its a basic thing which should be known,So that you can understand other topics as well related to this. Ratio Worksheets
2 comments:
Multiplying fractions with exponents?
Hi everyone, I'm watching an online instructor on MyMathLab going over rules of exponents. He does one thing near the end that I just don't get.
For the following problem...
8y^6/y^6 multiplied times y^2/25x^-4 (that's 8y to the sixth over y to the 6th times y squared over 25 x to the negative fourth)
Using the quotient rule for exponents he subtracts the negative four from 6 (6-(-4)) to make 8y^10th on top BUT he subtracts the y exponent from the numerator from the y exponent in the denominator? In other words instead of subtracting the y exponent of six from two, he does the opposite. His final solution is 8x^10/25y^4 while I came up with 8x^10/25y^-4 ...which would then lead me to put y^4 in the numerator to make 8x^10y^4/25
In fact he very quickly refers to it as a shortcut of sort but doesn't explain it, he just does it and blazes on to the next problem. I really want to understand this before I move ahead. Thanks :)
BTW if anyone is using MyMathLab for school (Intermediate college algebra). It is the Chapter 5, section 1 lecture at approx. 15:45 or so.
Simplifying fractions is very important in mathematics because its a basic thing which should be known,So that you can understand other topics as well related to this.
Ratio Worksheets
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