seventh root of x^9 / fifth root of x^6
please show work and express as a single radical
thanks
One property of roots of degree n is that the "nth" root of x equals x^(1/n). Thus:
The seventh root of x^9 is (x^9)^(1/7)
The exponents can multiply together to get x^(9/7).
The fifth root of x^6 is (x^6)^(1/5), or x^(6/5)
Dividing is the same as multiplying by the multiplicative inverse, so:
x^(9/7)/x^(6/5)=
x^(9/7)*x^(5/6)=
x^(45/42)=
x^(15/14)
This can be rewritten as the 14th root of x^15 by the same logic I used in the first step.
I have this really hard root packet thing for homework and I could really use some help:) The questions I don't get are...
1. Where could you go to find information about your genealogy?
2. Name a holiday that a Gentile does not celebrate. Why?
3. A horse breeder practices eugenics with two winning horses. Explain.
4. If you are a member of the English gentry, what do you inherit?
5. Name the Mother Goose character who was philoprogenitive.
Thanks for helping! By the way I'm in 7th grade.
Thank you all!!!
1. Where could you go to find information about your genealogy?
A newspaper to find listings of births and deaths.
2. Name a holiday that a Gentile does not celebrate. Why?
Hanukkah. It has to do with Jewish history, not Christian. (sorry, that's vague)
3. A horse breeder practices eugenics with two winning horses. Explain.
The breeder (as the name says) either breeds the two horses (if they are male-female) together or breeds them with other good stock to make a "better" horse.
4. If you are a member of the English gentry, what do you inherit?
Land
5. Name the Mother Goose character who was philoprogenitive.
The Old Woman in the Shoe
(she had so many children, she didn't know what to do)
It means both that she had lots of children and that she loved having them (in both senses of the word)
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