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Write Each of the Following in the Simplest Form: a 1 3 ÷ a − 2 3 - Mathematics

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Question

Write each of the following in the simplest form:

`"a"^(1/3) ÷ "a"^(-2/3)`

Sum

Solution

`"a"^(1/3) ÷ "a"^(-2/3)`

= `"a"^(1/3 - (-2/3))`      ......(Using am ÷ an = am - n)

= `"a"^(1/3 + 2/3)`

= `"a"^((1 + 2)/(3)`
= a1
=a.

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Simplification of Expressions
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Chapter 9: Indices - Exercise 9.1

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Frank Mathematics [English] Class 9 ICSE
Chapter 9 Indices
Exercise 9.1 | Q 3.3
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