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

Fractions Watch

    • Study Helper
    • Thread Starter
    Offline

    3
    ReputationRep:
    Hi,

    I have some queries.

    There are some questions on the attachment below of which I am not too sure about.

    Name:  Indices.JPG
Views: 133
Size:  15.8 KB

    For i)0
    ii)9
    iii) I'm not too sure

    Help would be appreciated.
    • TSR Support Team
    • Study Helper
    Offline

    3
    ReputationRep:
    i) That's incorrect. Any number to the power of 0 is equal to 1.
    ii) Correct.
    iii) Use the index law:

    (a^b)^c = a^{b\times c}
    • Study Helper
    • Thread Starter
    Offline

    3
    ReputationRep:
    (Original post by notnek)
    i) That's incorrect. Any number to the power of 0 is equal to 1.
    ii) Correct.
    iii) Use the index law:

    (a^b)^c = a^{b\times c}
    So would it be -6/4
    Offline

    1
    ReputationRep:
    (Original post by zed963)
    So would it be -6/4
    Two negatives make a plus (it should be +6/4 in the exponent).
    • Study Helper
    • Thread Starter
    Offline

    3
    ReputationRep:
    (Original post by f1mad)
    Two negatives make a plus (it should be +6/4 in the exponent).
    So whats 16^6/4
    Offline

    1
    ReputationRep:
    (Original post by zed963)
    So whats 16^6/4
    Remember,  16=2^4
    Offline

    1
    ReputationRep:
    (Original post by zed963)
    So whats 16^6/4
    16^(6/4)= 16^(3/2)
    • Study Helper
    • Thread Starter
    Offline

    3
    ReputationRep:
    (Original post by raheem94)
    Remember,  16=2^4
    I don't understand what u mean here.
    Offline

    1
    ReputationRep:
    (Original post by zed963)
    I don't understand what u mean here.
    Raise both sides to the power of 6/4.
    Offline

    1
    ReputationRep:
    (Original post by zed963)
    I don't understand what u mean here.
     16^{\frac64} = (2^4)^{\frac64}
    • Study Helper
    • Thread Starter
    Offline

    3
    ReputationRep:
    (Original post by raheem94)
     16^{\frac64} = (2^4)^{\frac64}
    I would like you to explain why you are doing the things.
    • Study Helper
    • Thread Starter
    Offline

    3
    ReputationRep:
    would the answer be 18 by any chance?

    I meant 2 to the power 6
    Offline

    1
    ReputationRep:
    (Original post by zed963)
    I would like you to explain why you are doing the things.
    We have got  16^{\frac64}

    Now we need to simplify it further, so we will notice that,  16=2^4

    Hence,  16^{\frac64} = (2^4)^{\frac64}

    Now use the rule,  (a^x)^{\frac{b}{d}} = a^{x \times \frac{b}{d}}

     16^{\frac64} = (2^4)^{\frac64} = 2^{4 \times \frac64} = 2^6

    Do you get it?
    Offline

    1
    ReputationRep:
    (Original post by zed963)
    would the answer be 18 by any chance?
    The answer is 64.
    • TSR Support Team
    • Study Helper
    Offline

    3
    ReputationRep:
    (Original post by zed963)
    I would like you to explain why you are doing the things.
    You seem to be struggling so I'll show you an alternative method that you may be more used to:

    \displaystyle 16^{\frac{6}{4}} = 16^{\frac{3}{2}}

    Raising a number to the power of \frac{3}{2} is the same as square-rooting it (the 2 on the denominator tells you this) and then cubing it (from the numerator). So you get:

    \displaystyle 16^{\frac{3}{2}} = (\sqrt{16})^3 = 4^3 = 64
    • Study Helper
    • Thread Starter
    Offline

    3
    ReputationRep:
    (Original post by notnek)
    You seem to be struggling so I'll show you an alternative method that you may be more used to:

    \displaystyle 16^{\frac{6}{4}} = 16^{\frac{3}{2}}

    Raising a number to the power of \frac{3}{2} is the same as squaring it (the 2 on the denominator tells you this) and then cubing it (from the numerator). So you get:

    \displaystyle 16^{\frac{3}{2}} = (\sqrt{16})^3 = 4^3 = 64
    Its just that we've been taught using a different method.
    • TSR Support Team
    • Study Helper
    Offline

    3
    ReputationRep:
    (Original post by zed963)
    Its just that we've been taught using a different method.
    Do you understand the method I gave? Which method have you been taught?
    • Study Helper
    • Thread Starter
    Offline

    3
    ReputationRep:
    (Original post by notnek)
    Do you understand the method I gave? Which method have you been taught?
    I've been taught that you have 4 boxes and all those 4 boxes multiplied by something that has to = 16 and now since its asking for 6 we would just multiply the number inside the box to the power of 6.

    4 boxes come from the denominator of 6/4
    Offline

    2
    ReputationRep:
    (Original post by zed963)
    I've been taught that you have 4 boxes and all those 4 boxes multiplied by something that has to = 16 and now since its asking for 6 we would just multiply the number inside the box to the power of 6.

    4 boxes come from the denominator of 6/4
    This seems very odd. Show your method and perhaps we can make sense of it.
    Offline

    1
    ReputationRep:
    (Original post by steve2005)
    This seems very odd. Show your method and perhaps we can make sense of it.
    I also can't understand what he is saying. But i also don't see any point for explaining things in this way, a GCSE student shouldn't have any problem doing these in the way it is done in this thread.
 
 
 
Poll
Is GoT overrated?
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.