What is the simplified form of (15x^6)/(20y^5) times (6y^2)/(5x^4)

Question

skullpatrol · Answer

Any ideas?

skullpatrol · Answer

$$\Huge  \frac{15x^6}{20y^5}\cdot\frac{6y^2}{5x^4}$$

anonymous · Answer

The answer choices are 
9x^2/10y^3
9x^3/10y^2
10x^3/9y^2
10x^2/9y^3

muzzack · Answer

Step by step solution :
Step  1  :

            $\huge\ (3•5^x6)$
 Simplify   ————————
            $\huge\ (22•5y^5)$
Canceling out  $\huge\ 5$   as it appears on 
both sides of the fraction line 
Equation at the end of step  1  :

  $3x^6$        $6y^2$
  ——— • ———
  $4y^5$         $5x^4$

muzzack · Answer

Step  2  :

               $3x6$           $6y2$
 Multiply  ———  by  ———
                $4y5$            $5x4$

$x^6$  divided by  $\huge\ x^4$ = $\huge\ x^{(6 - 4)}$ = $x^2$ 

$y^2~divided~by~y^5 = y^{(2 - 5)} = y^{(-3)} = 1/y^3$

Final result :

   $\large\ 9x^2$
  ————
  $\large\ 10y^3$

anonymous · Answer

Ok, thanks