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Simplify, giving a Solution with a positive index. 2xx(12x)3×(6x)2 - Mathematics

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Question

Simplify, giving a Solution with a positive index.

`(1/"2x")^3 xx (6"x")^2`

Sum

Solution

`(1/"2x")^3 xx (6"x")^2`

= `1^3/(2x)^3 xx 6^2 xx x^2`

= `1/(2^3 xx x^3) xx 36 xx x^2`

= `(36x^2)/(8x^3)`

= `9/2x^(2 - 3)`

= `9/2x^-1 = 9/(2x)`

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Laws of Exponents (Through Observing Patterns to Arrive at Generalisation.)
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Chapter 5: Exponents (Including Laws of Exponents) - Exercise 5 (B)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 5 Exponents (Including Laws of Exponents)
Exercise 5 (B) | Q 3.19
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