Why does exp(x+y) NOT equal exp(x)+exp(y)? [A-level Maths and Further Maths common mistake]

This is a very common mistake, so don't worry. To see why this is the case, let's go back through our notes to the "laws of indices" and recall the rule for adding powers; am * an = a(m+n) The exponential function ex (we can also write it as exp(x)) also follows these laws of indices, so; ex * e = e(x+y).......... NOT ex + ey

TD
Answered by Tutor56252 D. Maths tutor

8916 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A curve C has equation y = (2 - x)(1 + x) + 3 . A line passes through the point (2, 3) and the point on C with x-coordinate 2 + h . Find the gradient of the line, giving your answer in its simplest form.


How do I find the cartesian equation for a curve written in parametric form?


Express 9^(3x+1) in the form 3^y, giving "y" in the form "ax+b" where "a" and "b" are constants.


differentiate with respect to x. i). x^(1/2) ln (3x),


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