Join TSR now and get all your revision questions answeredSign up now

C1 Indices question help

    • Thread Starter
    Offline

    0
    ReputationRep:
    (6^1/4*36^1/8)∕√6

    The answer is 1 but I don't understand how to get there.

    Sorry I know there's a way of displaying this in a clearer way but I have no idea how. Anyways thanks in advance.
    Offline

    0
    ReputationRep:
     \frac{6^{\frac{1}{4}}\times 36^{\frac{1}{8}}}{\sqrt 6}
    You can do this using latex as this site allows latex preview. Have a look at this site. https://www.codecogs.com/latex/eqneditor.php
    • Thread Starter
    Offline

    0
    ReputationRep:
    (Original post by asif144)
     \frac{6^{\frac{1}{4}}\times 36^{\frac{1}{8}}}{\sqrt 6}
    You can do this using latex as this site allows latex preview. Have a look at this site. https://www.codecogs.com/latex/eqneditor.php
    Aah thank you. That's useful for future reference. Any idea how to solve it though?
    Offline

    2
    ReputationRep:
    (Original post by b_lythe)
    Aah thank you. That's useful for future reference. Any idea how to solve it though?
    36 is the same as 6^2, from there, you should be able to see that 36^1/8 is the same as (6^2)^1/8, which simplifies nicely to give 6^1/4. You can do it from here if you remember that 6^1/2 is the same as root6
    • Thread Starter
    Offline

    0
    ReputationRep:
    (Original post by Ishan_2000)
    36 is the same as 6^2, from there, you should be able to see that 36^1/8 is the same as (6^2)^1/8, which simplifies nicely to give 6^1/4. You can do it from here if you remember that 6^1/2 is the same as root6
    Thank you!
    Offline

    0
    ReputationRep:
    Here's the full worked process

     {\frac{6^{\frac{1}{4}}\times 36^{\frac{1}{8}}}{\sqrt 6}}

     ={6^{\frac{1}{4}}\times 36^{\frac{1}{8}}}\div{\sqrt 6}

     ={6^{\frac{1}{4}}\times 36^{\frac{1}{8}}}\div{6^\frac{1}  {2}}

     ={6^{\frac{2}{8}}\times 36^{\frac{1}{8}}}\div{6^\frac{4}  {8}}

     ={6^{\frac{2}{8}}\times{(6^2)}^{  \frac{1}{8}}}\div{6^\frac{4}{8}}

     ={6^{\frac{2}{8}}\times 6^{\frac{2}{8}}}\div{6^\frac{4}{  8}}

     ={6^{\frac{4}{8}}}\div{6^\frac{4  }{8}}

     ={6^0}

     ={1}
 
 
 
Poll
Which party will you be voting for in the General Election 2017?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Quick reply
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.