Simplify fully (x^2*x^3)/x^4

This question requires knowledge of the rules of indices. 

The first rule we need to use is that when multiplying indices with the same base (which in this case is x), the indices are added. Therefore the expression becomes;

(x2*x3)/x4= x5/x4

The next rule we need to use is that when dividing indices with the same base, we subtract the bottom from the top.  Therefore the expression becomes;

 (x2*x3)/x4= x5/x4 = x1

Since x1=x (by the definition of indices xmeans x multiplied by itself a times), the simplest form of (x2*x3)/x4 is x.

Answer: x

FW
Answered by Florence W. Maths tutor

6583 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do you complete the square? example: x^2 + 8x + 13=0


A rectangle has an area of 20 cm^2.  Its length and width are enlarged by scale factor 3.  Find the area of the enlarged rectangle.


How do you sketch a quadratic graph?


Solve the simultaneous equation: 3x+2y=8, 2x+5y=-2?


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