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

3574 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The region below the curve y = e^x + e^(-x) and the lines x = 0, x = ln4 is rotated 2π radians about the x-axis. Find the volume of the resulting solid.


A curve is defined by the parametric equations x = 2t and y = 4t^2 + t. Find the gradient of the curve when t = 4


A curve has equation y=x^2 + 2x +5. Find the coordinates of the point at which the gradient is equal to 1.


In a triangle ABC, side AB=10 cm, side AC=5cm and the angle BAC=θ, measured in degrees. The area of triangle ABC is 15cm(sq). Find 2 possible values for cosθ and the exact length of BC, given that it is the longest side of the triangle.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences