Results 1 to 8 of 8

Math Help - Exponents & Radicals Problems

  1. #1
    Member
    Joined
    Nov 2009
    Posts
    78

    Question Exponents & Radicals Problems

    I am 13 years old. I would like to solve more & more problems related to the topic exponents & radicals like the ones given in the URLs 1. Integral Exponents (Example 4, Exercises Question 2 & 3) & 2. Fractional Exponents (Example 3). I have been searching the net to get such problems but am not able to find such problems (the problems I have come across are far too easy).

    Can someone please suggest me some websites wherein I can find such problems on exponents & radicals?

    Thanks,

    Ron
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28
    Quote Originally Posted by rn5a View Post
    I am 13 years old. I would like to solve more & more problems related to the topic exponents & radicals like the ones given in the URLs 1. Integral Exponents (Example 4, Exercises Question 2 & 3) & 2. Fractional Exponents (Example 3). I have been searching the net to get such problems but am not able to find such problems (the problems I have come across are far too easy).

    Can someone please suggest me some websites wherein I can find such problems on exponents & radicals?

    Thanks,

    Ron

    Google search "Exponents Worksheets" and "Surds Worksheets" or just buy a year 10 text book. Second hand texts go for about $5 where i'm from.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Apr 2010
    Posts
    116
    Thanks
    1
    I am not sure about websites, but my old Saxon algebra textbooks have a ton of these kinds of problems. I can give you a few of the harder ones:

    1. (x^3y)^{-2}(xy^3)^{-4}

    2. \frac{a^{x/2}(y^{2-x})^{1/2}}{a^{3x}y^{-2x}}

    3. x^{3/4}\sqrt{xy}x^{1/2}\sqrt[3]{x^4}

    4. \frac{y^{x+3}y^{x/2-1}z^a}{y^{(x-a)/2}z^{(x-a)/3}}

    5. \sqrt{x^3y^2}\sqrt[4]{xy^3}

    Is that what you've looking for? I have the answers to these, and more problems, if you need them.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Nov 2009
    Posts
    78

    Question

    Quote Originally Posted by Ragnarok View Post
    I am not sure about websites, but my old Saxon algebra textbooks have a ton of these kinds of problems. I can give you a few of the harder ones:

    1. (x^3y)^{-2}(xy^3)^{-4}

    2. \frac{a^{x/2}(y^{2-x})^{1/2}}{a^{3x}y^{-2x}}

    3. x^{3/4}\sqrt{xy}x^{1/2}\sqrt[3]{x^4}

    4. \frac{y^{x+3}y^{x/2-1}z^a}{y^{(x-a)/2}z^{(x-a)/3}}

    5. \sqrt{x^3y^2}\sqrt[4]{xy^3}

    Is that what you've looking for? I have the answers to these, and more problems, if you need them.
    Thanks, mate...that's exactly what I am looking out for. Can you please give me many more such problems along with the answers (as many as you can....the more the better)? It would be great if you could do that.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Member
    Joined
    Apr 2010
    Posts
    116
    Thanks
    1
    No problem. I'm away from my books right now so I'll have to get back to you in a little while for the extra problems, but here are my answers to the ones I already gave you (if you need explanations I can give them):

    1. x^{-10}y^{-14}
    2. a^{-5x/2}y^{1+3x/2}
    3. x^{37/12}y^{1/2}
    4. y^{(2x+4+a)/2}z^{(4a-x)/3}
    5. x^{7/4}y^{7/4}

    The Saxon math textbooks are great, by the way, particularly for self-teaching. They have more practice than you'll ever need, as well.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Member
    Joined
    Nov 2009
    Posts
    78
    Quote Originally Posted by Ragnarok View Post
    No problem. I'm away from my books right now so I'll have to get back to you in a little while for the extra problems, but here are my answers to the ones I already gave you (if you need explanations I can give them):

    1. x^{-10}y^{-14}
    2. a^{-5x/2}y^{1+3x/2}
    3. x^{37/12}y^{1/2}
    4. y^{(2x+4+a)/2}z^{(4a-x)/3}
    5. x^{7/4}y^{7/4}

    The Saxon math textbooks are great, by the way, particularly for self-teaching. They have more practice than you'll ever need, as well.
    Thank you so much, my dear friend, for your inputs. I will wait for the other problems.

    Ron
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Super Member
    Joined
    Mar 2010
    Posts
    715
    Thanks
    2
    You need this book - Elementary Algebra for Schools by Hall and Knight. You can read it online, if you click on it, as well as print (where necessary). There is a chapter called Elementary Surds (click to jump there) and it will provide more than enough examples and exercises for your purposes. If you finish with that (by which time you know a great deal already), there is an advanced version called Higher Algebra, which is also available for free (click to view it).
    Follow Math Help Forum on Facebook and Google+

  8. #8
    Member
    Joined
    Apr 2010
    Posts
    116
    Thanks
    1
    Funny, TheCoffeeMachine, I have never heard the term "surds" in my life. Is it maybe a British/Australian term or is this just my years of skipping school catching up to me?

    Some more problems:

    1. \sqrt{x^3y}\sqrt[4]{xy^3}

    2. (\sqrt{3}+\sqrt{x})^2

    3. \frac{x^{-2}+y^{-2}}{(xy)^{-1}}

    4. (\sqrt{2}-\sqrt{x})(1-\sqrt{x})

    5. y^{x/2+1}\sqrt{y^a}2y^{2a+3}

    6. \frac{a^{x/2}(y^{2-x})^{1/2}}{a^{4x}y^{-2x}}

    7. 2\sqrt{\frac{3}{2}}-3\sqrt{\frac{2}{3}}+2\sqrt{24}

    8. 2\sqrt{\frac{7}{3}}-\sqrt{\frac{3}{7}}-2\sqrt{84}

    9. \sqrt{2x}(\sqrt{3x}+\sqrt{x})

    10. \frac{a^{-2}+b^{-1}}{a^{-1}b}

    And their answers:

    1. x^{7/4}y^{7/4}

    2. 3+2\sqrt{3}\sqrt{x}+x

    3. \frac{x^2+y^2}{xy}

    4. \sqrt{2}-(1+\sqrt{2})\sqrt{x}+x

    5. 2y^{5a/2+x/2+4}

    6. a^{-7x/2}y^{(1+3x)/2}

    7. 4\sqrt{6}

    8. -\frac{73\sqrt{21}}{21}

    9. x(\sqrt{6}+\sqrt{2})

    10. \frac{b+a^2}{ab^2}


    Edit: Sorry, I think #1 is a repeat. Oh well, I don't feel like changing it.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Exponents & Radicals
    Posted in the Algebra Forum
    Replies: 1
    Last Post: February 15th 2011, 08:27 AM
  2. Radicals and exponents
    Posted in the Algebra Forum
    Replies: 4
    Last Post: May 23rd 2010, 04:06 AM
  3. subtracting radicals with exponents
    Posted in the Algebra Forum
    Replies: 1
    Last Post: January 5th 2010, 03:09 PM
  4. Radicals and Exponents (Again)
    Posted in the Algebra Forum
    Replies: 2
    Last Post: October 12th 2007, 06:58 PM
  5. Radicals and Exponents
    Posted in the Algebra Forum
    Replies: 2
    Last Post: October 12th 2007, 05:44 PM

Search Tags


/mathhelpforum @mathhelpforum