Express as Rational Number


 
 
Concept Explanation
 

Express as Rational Number

Exponents can be expressed as rational numbers ( a rational number is a number that can be expressed as the quotient or fraction frac{p}{q} of two integers, a numerator p, and a non-zero denominator q)

If x is a rational number and m is a positive integer, then x^{m}=xtimes xtimes xtimes xtimes x....m ;times, where x is the base and m is called exponent or power. For example, we have

  • left ( frac{-1}{6} right )^{3}=left ( frac{-1}{6} right )times left ( frac{-1}{6} right ) times left ( frac{-1}{6} right ) =frac{-1}{216}

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    Sample Questions
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    Question : 1

    Express the following as a rational number of the form p/ q: large dpi{150} large (frac{7}{9})^3

    Right Option : D
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    Explanation
    Question : 2

    Simplify:   left ( frac{-4}{5} right )^{5}

    Right Option : A
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    Explanation
    Question : 3

    Square of   large left ( frac{-2}{3} right ) is

    Right Option : D
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    Explanation
     
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