Express in Exponential Form


 
 
Concept Explanation
 

Express in Exponential Form

When the numbers given are very large like Mass of earth = 5,970,000,000,000,000,000,000 Kg. then it is not easy to read them so we write them in the form of exponents. Exponents make these numbers easy to read, write, understand and compare.

Observe 1,00,000=10X10X10X10X10=10^5

Here, "10" is called the base, and "5" is called the exponent.

10^5 is the exponential form of 1,00,000.

Examples are:

  •  2^5=2X2X2X2X2=32, Here 32 can be expressed as the product of prime factors.
  • 432=2^4X3^3 is expressed as the product of prime factors.
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    Sample Questions
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    Question : 1

    Express as a product of powers of their prime factors: 36

    Right Option : A
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    Explanation
    Question : 2

    Express the following rational numbers in power notation: large frac{-1}{216}

    Right Option : D
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    Explanation
    Question : 3

    Cube of large frac{-1}{3} is _________________

    Right Option : C
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    Explanation
     
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