Question

If x =[(2/3) power 2] power 3×(1/3) power -2×-3 power-1×1/6,find the reciprocal of x

Answer 1

Answer:

9/4

Step-by-step explanation:

x=(2/3)² ⁽³ˣ⁽¹/³⁾⁾ ⁽⁻²ˣ⁻³⁾⁽⁻¹ˣ¹/⁶⁾

 =(2/3)²ˣ¹ˣ⁶ˣ⁻¹/⁶

 =(2/3)¹²ˣ⁽⁻¹/⁶⁾

 =(2/3)⁻²

 =(3/2)²

 =9/4

Sorry, it was very difficult to write powers. But, I hope this helps you.