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Simplify the Following `(4ab^2(-5ab^3))/(10a^2b^2)` - Mathematics

Simplify the following

`(4ab^2(-5ab^3))/(10a^2b^2)`

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Solution

`(4ab^2(-5ab^3))/(10a^2b^2)`

`=(4xxaxxb^2xx(-5)xxaxxb^3)/(10a^2b^2)`

`=(-20xxa^1xxa^1xxb^2xxb^3)/(10a^2b^2)`

`=(-20xxa^(1+1)xxb^(2+3))/(10a^2b^2)`

`=-2xxa^2xxb^5xxa^-2xxb^-2`

`=-2xxa^(2+(-2))xxb^(5+(-2))`

`=-2xxa^0xxb^3`

`=-2b^3`

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 2 Exponents of Real Numbers
Exercise 2.1 | Q 1.4 | Page 12
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