If (2/3)^n=〖(3/2)〗^2 what is the value of n

Reciprocal is when you interchange the numerator (the number on top in a fraction) with the denominator (the number at the bottom in a fraction). The numerator, is now the denominator and the denominator is the numerator.

For example, the reciprocal of 2 is (1/2)

If you want a reciprocal of a fraction, which is inside a square root, we multiply -1 with the number in the root

For example, 〖(3/2)〗^2   becomes  〖(2/3)〗^-2

Hence n = -2

GW

Related Maths GCSE answers

All answers ▸

Part 1 of a test has 60 marks, Part 2 has 100 marks. James scores 75% on part 1 and 48% on part 2. To pass the full test, he needs 60% of the total marks, does he pass?


(2x+3)/(x-4) - (2x-8)/(2x+1) = 1 Solve for x


Expand and simplify: (2x+3)(x-8)


Consider a right-angled triangle with an inside angle of 30° and a hypotenuse of 8cm. Calculate the length of the opposite side to the 30° angle.