simplify the expression (6x^3/3x^4)^2?

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simplify the expression (6x^3/3x^4)^2?

2006-08-11 11:38:02 · 4 answers · asked by 2terbug 1 in Science & Mathematics ➔ Mathematics

4 answers

4/(x^2)

2006-08-11 11:42:44 · answer #1 · answered by Michael L 1 · 0⤊ 0⤋

You want to use the "exponent rules" to make it all look simpler.

Inside the parentheses, 6x^3/3x^4=3*2*x*x*x/3*x*x*x*x
cancelling the common factors
=>2/x
Then you have to square: 2/x*2/x=4/x^2.

2006-08-11 18:45:32 · answer #2 · answered by Benjamin N 4 · 0⤊ 0⤋

((6x^3)/(3x^4))^2

((6/3) * x^(3 - 4))^2

(2x^-1)^2

2^2 * x^(-1 * 2)

4x^-2

ANS : 4/(x^2)

2006-08-11 19:40:56 · answer #3 · answered by Sherman81 6 · 0⤊ 0⤋

(2X^-1)^2

4x^-2

2006-08-11 18:51:37 · answer #4 · answered by ObliqueShock_Aerospace_Eng 2 · 0⤊ 0⤋