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Please help me in doing my homework in math about law of exponents!?
(x^6) (x^8) (x^2)
(-----) (----) (-----) =
(y^4) (y^10) (y^15)
(x^8y^2a)(x^4y^5a^3)(x^2ya^8)=
(x^4) (y^3) (y^10) (y^7)
(-----) (----) (-----) (-----) =
(y^5) (y^8) (x^5) (x^2)
(x^5y^3a^7)(x^3y^6a^2)(xy^5a^4)=
(-2x^4y^6)^3
(------------) =
( xy^2 )
* (note) The parenthesis of #1,3,5 it joins the denominator
1 Answer
- xtemporeLv 51 decade agoFavorite Answer
Just add exponents on top and bottom or subtract top against bottom where applicable.
E.g. 1st question is...
x^16 / y^29
The important thing to understand here is that x^6 is just
x * x * x * x * x * x
... and x^2 is just ...
x * x
So when you multiply them together it's just
x * x * x * x * x * x * x * x
In other words x^8. That's why you ADD the exponents.
Similarly if you have something like x^4 / x^2
it's just (x * x * x * x) / (x * x). You can cancel two of those x's the top and bottom to get (x * x) / 1 = x^2.
So here we SUBTRACT the exponents.
HTH
Try the other ones out and see how you go.