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Simplify the Following `((4xx10^7)(6xx10^-5))/(8xx10^4)` - Mathematics

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Question

Simplify the following

`((4xx10^7)(6xx10^-5))/(8xx10^4)`

Solution

`((4xx10^7)(6xx10^-5))/(8xx10^4)`

`=(4xx10^7xx6xx10^-5)/(8xx10^4)`

`=(24xx10^(7+(-5)))/(8xx10^4)`

`=(24xx10^2)/(8xx10^4)`

`=(24xx10^2xx10^-4)/8`

`=3xx10^(2+(-4))`

`=3xx10^-2`

`=3/10^2`

`=3/100`

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Chapter 2: Exponents of Real Numbers - Exercise 2.1 [Page 12]

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RD Sharma Mathematics [English] Class 9
Chapter 2 Exponents of Real Numbers
Exercise 2.1 | Q 1.3 | Page 12

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