Let's express 879 in index form as power of 10
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We can write large numbers in a shorter form using exponents.
Observe 10, 000 = 10 × 10 × 10 × 10 = 104
The short notation 104 stands for the product 10×10×10×10. Here ‘10’ is called the base and ‘4’ the exponent. The number 104 is read as 10 raised to the power of 4 or simply as fourth power of 10. 104 is called the exponential form of 10,000.
We can similarly express 1,000 as a power of 10. Since 1,000 is 10 multiplied by itself three times,
1000 = 10 × 10 × 10 = 103
Here again, 103 is the exponential form of 1,000.
Similarly, 1,00,000 = 10 × 10 × 10 × 10 × 10 = 105
105 is the exponential form of 1,00,000
In both these examples, the base is 10; in case of 103, the exponent is 3 and in case of 105 the exponent is 5.
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