Simplify each of the following expressions. Write your answers with positive exponents only. (x^2)^-3(x^-2) / (x^2)^-4
2007-02-23 10:19:29 · 5 answers · asked by djlurch52@sbcglobal.net 1 in Science & Mathematics ➔ Mathematics
(x²)-³(x-²) / (x²)^-4 =
x^-6 * x-² over x^-8 =
x^-8 /x^-8 = xº = 1
Answer: x = 1
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2007-02-23 10:33:52 · answer #1 · answered by aeiou 7 · 0⤊ 0⤋
(x^2)^-3(x^-2) / (x^2)^-4
= (x^-6)(x^-2) /x^-8
= x^-8/x^-8 = 1
2007-02-23 10:26:21 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋
(x^2)^-3(x^-2) / (x^2)^-4
first i will use parenthese to make thing s more readable
[ (x^2)^-3(x^-2) ] / (x^2)^-4
= (x^2)^4 / [ (x^2)^3(x^-2) ]
= (x^2)^ [ 4 /3(x^-2) ]
= (x^2)^ [ 4 (x^2) / 3 ]
better than this is not possible
2007-02-23 10:27:25 · answer #3 · answered by gjmb1960 7 · 0⤊ 1⤋
(x^2)^-3 = 1/x^6
x ^-2 = 1/x^2
1/x^2 / 1/x^6 = x^4 <--------------------answer
2007-02-23 10:31:46 · answer #4 · answered by lord_erico 2 · 0⤊ 1⤋
(x^-6)(x^2)/x^-8
x^-4/x^-8
x^8/x^4
x^4
2007-02-23 10:44:51 · answer #5 · answered by lily 2 · 0⤊ 0⤋