Express root(125^x)/5^(2x-1) in terms of 5^a where a is an expression in terms of x.

root(125^x) = 125^(x/2) = 5^(3x/2)
5^(3x/2) / 5^(2x-1) = 5^(3x/2 - 2x +1) = 5^(-x/2 + 1)

SN
Answered by Sophie N. Maths tutor

3535 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Curves C1 and C2 have equations y= ln(4x-7)+18 and y= a(x^2 +b)^1/2 respectively, where a and b are positive constants. The point P lies on both curves and has x-coordinate 2. It is given that the gradient of C1 at P is equal to the gradient of C2 at P.


Differentiate x^x


The line L has equation y = 5 - 2x. (a) Show that the point P (3, -1) lies on L. (b) Find an equation of the line perpendicular to L that passes through P.


What is the equation of the curve that has gradient dy/dx=(4x-5) and passes through the point (3,7)?


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:

© 2025 by IXL Learning