Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,433 questions

17,804 answers

1,438 comments

47,280 users

Express x in terms of y?

+1 vote
If (x^3)^4=(y^2)^3

Express x in terms of y.

Please include full working with explanation.

Thanks!
asked Jan 21, 2013 in ALGEBRA 1 by linda Scholar

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

answered Jan 22, 2013 by richardson Scholar

Related questions

asked May 29, 2014 in ALGEBRA 1 by SanMar Rookie
asked May 29, 2014 in ALGEBRA 1 by SanMar Rookie
...