rachel401999 rachel401999
  • 03-08-2018
  • Mathematics
contestada

which of the following expressions are equivalent? Justify your reasoning.

which of the following expressions are equivalent Justify your reasoning class=

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DeanR
DeanR DeanR
  • 03-08-2018

Working over the real numbers, expressions B and D are (almost) equivalent.

[tex] \dfrac{1}{x^{-1}} = \dfrac{1}{1/x} = x [/tex]

[tex] x^{\frac 1 3}x^{\frac 1 3}x^{\frac 1 3} = x^{\frac 1 3 + \frac 1 3 + \frac 1 3 } = x[/tex]

They're not quite equivalent when x=0 as the first is undefined, but we'll let that go because we can't argue with the online system.

Answer: B and D

Answer Link
choixongdong
choixongdong choixongdong
  • 03-08-2018

B )

x / x^-1 = x^1 = x

D)

x^1/3 * x^1/3 * x^1/3

= x^(1/3 + 1/3+ 1/3)

= x^3/3

= x^1

=x

Answer is B and D are equivalent

Answer Link

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