Question

**Algebraic Fractions** Express this as a single fraction in its simplest form 15x^2 / y * y^3 / x (Easier to read if you right it down) Could I have a walkthough? :)

Answer 1

\[\frac{15x^2}{y}\frac{y^3}{x}\]
can be rewritten as:
\[\frac{15x^2}{x}\frac{y^3}{y}\]
Note that \[\frac{a^m}{a^n}=a^{m-n}\]
So we can break this into two parts:
\[\frac{15x^2}{x}=15x^{2-1}=15x\]
And the second part:
\[\frac{y^3}{y}=y^{3-1}=y^2\]
Bringing it all together:
\[15xy^2\]

Answer 2

15xy^2

You have ((15x^2)/(y)) * ((y^3)/(x))

Cancel the powers and you're left with 15xy^2

Answer 3

Thank you! This makes sense. I have some others with brakcets that I may need help on.

Answer 4

Feel free to post a fresh question when you get stuck on the next one. That way it gets attention from anyone looking :)

Answer 5

Sorry but I have another one like this but with a / instead of a * can I still rewrite the same?