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Question
Simplify : `root(4)(243)/root(4)(3)`
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Solution
`root(4)(243)/root(4)(3)`
= `root(4)(3^5)/root(4)(3)`
= `3^( 5 xx 1/4 )/ 3^(1/4)`
= `3^( 5/4 )/ 3^(1/4)`
= `3^(5/4 - 1/4)`
= `3^(4/4)`
= `3^1`
= 3
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