Greetings!
Simplify the following expression:
[tex](5y^6u^{-7})(5u^9v^{-6})(3v^5y)[/tex]
First, multiply the terms
[tex]=(5y^6u^{-7})(5u^9v^{-6})(3v^5y)[/tex]
[tex]=(25y^6u^{2}v^{-6})(3v^5y)[/tex]
[tex]=(75y^7u^{2}v^{-1})[/tex]
Rearrange the negative exponent:
[tex]=(75y^7u^{2}v^{-1})[/tex]
[tex]= \frac{75y^7u^{2}}{v} [/tex]
Rearrange to follow the correct form:
[tex]= \frac{75u^{2}y^7}{v} [/tex]
This is the most you can simplify this expression:
[tex]\boxed{=\frac{75u^{2}y^7}{v} }[/tex]
I hope this helped!
-Benjamin
