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

4451 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate the function f(x) where f(x)= x^2 +sin(x) + sin^2(x)


A function is defined as f(x) = x / sqrt(2x-2). Use the quotient rule to show that f'(x) = (x-2)/(2x-2)^(3/2)


Find the values of x such that: (log3(81)+log2(32))/(log2(x)) = log2(x) (5 marks)


Integrate (12x^5 - 8x^3 + 3)dx giving the terms of the answer in the simplest terms


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