Law 5 Zero Exponent


 
 
Concept Explanation
 

Law 5 Numbers with Zero Exponent

  • Any number with zero exponents is equal to one irrespective of the base i.e., a^{0}=1
  • Any number with one as the exponent is equal to the number itself i.e., a^{1}=a
  • Examples:

    1.  8^{0}=1

    2. (-12)^{0}=1

    3. left ( frac{5}{9} right )^{0}=1

    4.  left ( frac{-7}{11} right )^{1}=left ( frac{-7}{11} right )

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    Sample Questions
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    Question : 1

    Which of the following values are equal?

    (1) 1^5     (2) 5^0     (3) 0^5       (4) 5^1

    Right Option : A
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    Question : 2

    large begin{pmatrix} frac{1}{5}end{pmatrix}^0  is equal to   ______________

    Right Option : C
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    Question : 3

    Evaluate:

    left [ left ( frac{-7}{4} right )^{0} timesleft ( frac{3}{4} right )^{1}timesleft ( 2 right )^{0}right ]^{4}

    Right Option : B
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