Question

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

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

Answer 1

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

Explanation: