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Complete the equation. Answer as a fraction in its simplest form.

9xy * (2/3x)^3 = ( / )x^4 y


Sagot :

Step by Step Solution

STEP

1:

           2

Simplify   —

           3

Equation at the end of step

1:

         2

 9xy • ((— • x)3)

         3

STEP

2:

Equation at the end of step

2:

       23x3

 9xy • ————

        33

STEP

3:

Multiplying exponential expressions :

3.1    x1 multiplied by x3 = x(1 + 3) = x4

Dividing exponents:

3.2    32   divided by   33   = 3(2 - 3) = 3(-1) = 1/31 = 1/3

Final result :

 8x4y

 ————

  3  

Step-by-step explanation: