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{-5}{7} X frac{-5}{7}Xfrac{-5}{7}Xfrac{-5}{7}             

    Right Option : A
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    Explanation
    Question : 2

    If 10^x= 64 , what is the value of 10^{left ( frac{x}{2}+1 right )} ?

    Right Option : C
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    Explanation
    Question : 3

    Evaluate

    left ( frac{-3}{2} right )^{5}timesleft ( frac{-3}{2} right )^{-2}

    Right Option : A
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    Explanation
     
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