Question

Simplify (5y^6u^-7)*(5u^9v^-6)*(3v^5y)

Answer 1

Greetings!

Simplify the following expression:
$(5y^6u^{-7})(5u^9v^{-6})(3v^5y)$

First, multiply the terms 
$=(5y^6u^{-7})(5u^9v^{-6})(3v^5y)$

$=(25y^6u^{2}v^{-6})(3v^5y)$

$=(75y^7u^{2}v^{-1})$

Rearrange the negative exponent:
$=(75y^7u^{2}v^{-1})$

$= \frac{75y^7u^{2}}{v}$

Rearrange to follow the correct form:
$= \frac{75u^{2}y^7}{v}$

This is the most you can simplify this expression:
$\boxed{=\frac{75u^{2}y^7}{v} }$

I hope this helped!
-Benjamin