Question
Find the value of `(6^(2/3) xx root3(6^7))/(root3(6^6))`
Answer: Option C
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Sol . `(6^(2/3) xx root3(6^7))/(root3(6^6))`
= `(6^(2/3) xx (6^7)^(1/3))/(6^6)^(1/3)`
= `( 6^(2/3) xx 6^(7 xx 1/3))/(6^(6 xx 1/3))`
= `(6^(2/3) xx 6^( 7/3))/(6^2)`
= `6^(2/3) xx 6^(7/3 - 2)`
= `6^(2/3) xx 6^(1/3)`
= ` 6^((2/3 + 1/3))` = `6^1 = 6`
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