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    The question:

    Name:  indices.png
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Size:  13.0 KB 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
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    Root x can be written as x^1/2
    Then use the index laws of division to simplify.
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    (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 \sqrt x \equiv x^{\frac{1}{2}}

    Then split the fraction i.e. \frac{a+b}{c} \equiv \frac{a}{c} + \frac{b}{c}

    Then simplify from here
 
 
 
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