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Express x in terms of y? +1 voteIf (x^3)^4=(y^2)^3Express x in terms of y.Please include full working with explanation.Thanks!solvingaskedJan 21, 2013in ALGEBRA 1by lindaScholar

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Please log in or register to add a comment. Please log in or register to answer this question. 1 Answer +1 vote

(x3)4 = (y2)3

Formula : < (am)n = amn >

(x3·4) = (y2·3)

Simplify

(x12) = (y6)

take 6th root each side

6th root (x12) = 6th root (y6)

Note : < n th root A = A1/n >

(x12)1/6 = (y6)1/6

Formula : < (am)n = amn >

(x12/6) = (y6/6)

x2 = y

x = √y

y = x2

check the equation: (x3)4 = (y2)3

Let x = 2

then y = x2 = 4

(23)4 = (42)3

(8)4 = (16)3 < 23 = 8 , 42 = 16 >

(8)4 = (8·2)3

(8)4 = (16)3

(8)4 = (8)3·(2)3

(8)3(8) = (8)3·(8)

Simplify

1 = 1

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