What is the simplified form of 15 x to the eighth power over 24 y to the fifth power divided by 4 x to the fourth power over 8 squared?

Question

luckycoins888 · Answer

is that 15x^5/24y^7/4x^2/8y ?

anonymous · Answer

no its 15x^8/24y^5/4x^4/8y^2

luckycoins888 · Answer

ah okay, let me solve that quick OK?

anonymous · Answer

ok

luckycoins888 · Answer

Final result :

  5x12y7 
  ——————
   256  
Step by step solution :

Step  1  :

            x4
 Simplify   ——
            8 
Equation at the end of step  1  :

        (x8)  (y5)  x4
  (((15•————)•————)•——)•y2
         24    4    8 


 
 Step  2  :

            y5
 Simplify   ——
            4 
Equation at the end of step  2  :

        (x8)  y5  x4
  (((15•————)•——)•——)•y2
         24   4   8 
 Step  3  :

            x8
 Simplify   ——
            24
Equation at the end of step  3  :

          x8    y5    x4
  (((15 • ——) • ——) • ——) • y2
          24    4     8 
 Step  4  :

Multiplying exponential expressions :

 4.1    y5 multiplied by y2 = y(5 + 2) = y7

Final result :

  5x12y7 
  ——————
   256

anonymous · Answer

that's not one of the answer choices ^^

anonymous · Answer

4y^3 over 5x^5
 4y^4 over 5x^3
 5x^4 over 4y^3
 5x^3 over 4y^4

anonymous · Answer

@luckycoins888 ?