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