Question

need help to simplify the following
-15 xsquared yto the third
---------------------------
12 xto the third ysquared

Answer 1

what should your first step be?

Answer 2

\[\frac{-15x^2y^3}{12x^3y^2}=\frac{-5y}{4x}\]

Answer 3

-15 x^2 y^3
-------------
12 x^3 y^2

what do you know about these "terms"?

Answer 4

@ nadeem what 're Ur reason to think like that?

Answer 5

when we multiply like bases; the exponents "add" together:

5^2 5^8 = 5^(2+8) = 5^10

when we do the opposite of multiplication (which is division) we do the opposite with the exponents as well; which is subtraction:

5^8
---- = 5^(8-2) = 5^6
5^2

Do you ubderstand that "rule" of bases and exponents?

Answer 6

my new math knowledge amistre,,,thx...

Answer 7

yw :)

Answer 8

you can break it up and use exponential rules:
\[(\frac{-15}{12})(\frac{x^2}{x^3})(\frac{y^3}{y^2}) \rightarrow (\frac{-5}{4})(\frac{1}{x})(\frac{y}{1})\rightarrow \frac{-5y}{4x}\]

Answer 9

yeah i see thx..