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Simplify the Following and Express with Positive Index : (3^-4/2^-8)^(1/4) - Mathematics

Sum

Simplify the following and express with positive index :
`(3^-4/2^-8)^(1/4)`

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Solution

`(3^-4/2^-8)^(1/4)` 

= `( 2^8/3^4)^(1/4)`

= `[(2^8)^(1/4)]/[(3^4)^(1/4)]`

= `[2^( 8 xx 1/4 )]/[ 3^( 4 xx 1/4 )]`

= `2^2/3`

= `4/3`

Concept: Laws of Exponents
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APPEARS IN

Selina Concise Mathematics Class 9 ICSE
Chapter 7 Indices (Exponents)
Exercise 7 (A) | Q 4.1 | Page 98
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