You are Here: Home >< Maths

# Simple Indices Problem Help watch

1. The question:

can be written as 4x^a +x^b, write down the value of and value of b.

I've tried to rationalise the top and the bottom so that the surd form is removed from the denominater but all that happens is that I get a more complex surd form over x and I don't know what to do after that. I've looked at the answers but I don't understand how to get to 4x^5/2 + x^2.

Much appreciated if someone could go through the steps with me.

Thank you x
Attached Images

2. Root x can be written as x^1/2
Then use the index laws of division to simplify.
3. (Original post by saharan_skies)
The question:

can be written as 4x^a +x^b, write down the value of and value of b.

I've tried to rationalise the top and the bottom so that the surd form is removed from the denominater but all that happens is that I get a more complex surd form over x and I don't know what to do after that. I've looked at the answers but I don't understand how to get to 4x^5/2 + x^2.

Much appreciated if someone could go through the steps with me.

Thank you x
You know that

Then split the fraction i.e.

Then simplify from here

### Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: October 8, 2017
Today on TSR

### Edexcel GCSE Maths Unofficial Markscheme

Find out how you've done here

Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams