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 frac{9^{3}}{10^{4}} in the rational form.

    Right Option : A
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    Question : 2

    Simplify:   left (frac{-2}{3} right)^4

    Right Option : B
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    Explanation
    Question : 3

    Find the value of the following: large dpi{120} fn_jvn large [frac{-1}{2}]^2 X;; frac{2}{3};; X [frac{3}{4}]^2

    Right Option : B
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    Explanation
     
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