Multiply and simplify
-3x^2y^2 • x^3

A.

9x5y2

B.

–3x5y6

C.

–3x5y2

D.

–3x6y2

Question

Multiply and simplify
-3x^2y^2 • x^3

  A. 
 
9x5y2
   
   

 

 
  

  B. 
 
–3x5y6
   
   

 

 
  

  C. 
 
–3x5y2
   
   

 

 
  

  D. 
 
–3x6y2

camerondoherty · Answer

C

mathmale · Answer

In the interest of clarity, I'm rewriting your -3x^2y^2 • x^3 as$$-3x^2y^2 • x^3$$

dan815 · Answer

Cameron refrain from just giving out the answers please.

camerondoherty · Answer

ok sorry

dan815 · Answer

no problem :)

mathmale · Answer

Now, let's re-write tht as $$-3x^2 * x^3 * y^2$$

mathmale · Answer

What rule governs this multiplication?$$x^a x^b?$$$$x^a*x^b=x ^{( ?? )}$$

camerondoherty · Answer

Step  1  :
 Multiply  $$3x^2y^2 \times x^3$$
 x^2  multiplied by  x^3 = x(2 + 3) = x^5


Then you get:
  0 -  3x^5y^2


Step  2  :
Simplify   0  -  3x^5y^2


Final result :
   -3x^5y^2