Given that 3^(-3/2) = a* 3^(1/2), find the exact value of a.

3^(3/2) = a * 3^(1/2)
3^(1/2) * 3^(-2) = 3^(3/2)Therefore a must be equal to 3^(-2)a = 1/9

OW
Answered by Oliver W. Maths tutor

4042 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Let p(x) = 30 x^3 -7 x^2 - 7 x + 2. Prove that (2x + 1) is a factor of p(x) and factorise p(x) completely.


A cricket player is capable of throwing a ball at velocity v. Neglecting air resistance, what angle from the horizontal should they throw at to achieve maximum distance before contact with the ground? How far is that distance?


Find the two real roots of the equation x^4 - 5 = 4x^2 . Give the roots in an exact form. [4]


How can you tell if a function is even or odd?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning