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

  • Google+ icon
  • LinkedIn icon
  • 1041 views

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

Gift W. GCSE Maths tutor, IB Geography tutor, IB Economics tutor, GCS...

About the author

is an online GCSE Maths tutor with MyTutor studying at Durham University

Still stuck? Get one-to-one help from a personally interviewed subject specialist.

95% of our customers rate us

Browse tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok