Law 1 Product of exponents


 
 
Concept Explanation
 

Law 1 Product of exponents

Multiplication with the same base

If we have to multiply the powers which have the same base then we have to add the exponents i.e. a^m times a^n = a^{m+n}

Example:

  • 8^3;;X ;;8^4 = 8^{3+4} = 8^7
  • left ( frac{2}{5} right )^{5};;X ;;left (frac{2}{5} right )^8 =left (frac{2}{5} right )^{13}
  • Some Important Points to Remember:

  • (-1)^{odd ; number} = (-1)
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    Sample Questions
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    Question : 1

    Express each of the following in exponential form:large frac{4}{3}Xfrac{4}{3}Xfrac{4}{3}Xfrac{4}{3}Xfrac{4}{3}

    Right Option : D
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    Question : 2

    large begin{pmatrix}frac{-1}{2} end{pmatrix}^5times begin{pmatrix} frac{-1}{2}end{pmatrix}^3 is equal to  ______________________

    Right Option : A
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    Explanation
    Question : 3

    Write in exponential form:

    large left ( 7^2X7^4 right )X7^3

    Right Option : D
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    Explanation
     
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