contestada

Which of the following expressions are equivalent? Justify your reasoning.
a. 4√x3
b. 1/(x^-1)
c. 10√x5•x4•x2
d. x^1/3* x^1/3* x^1/3

Respuesta :

Panoyin
a. [tex]4\sqrt{x^{3}[/tex]
    [tex]4\sqrt{x^{2} * x}[/tex]
    [tex]4\sqrt{x^{2}}\sqrt{x}[/tex]
    [tex]4x\sqrt{x}[/tex]

b. [tex]\frac{1}{x^{-1}} =x[/tex]

c. [tex]10\sqrt{x^{5} * x^{4} * x^{2}}[/tex]
    [tex]10\sqrt{x^{11}[/tex]
    [tex]10\sqrt{x^{10}* x}[/tex]
    [tex]10\sqrt{x^{10}}\sqrt{x}[/tex]
    [tex]10x^{5}\sqrt{x}[/tex]

d. [tex]x^{\frac{1}{3}} * x^{\frac{1}{3}} * x^{\frac{1}{3}}[/tex]
    [tex]x[/tex]

The expressions that are equivalent are B and D.

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