alexanderdibler alexanderdibler
  • 23-05-2021
  • Mathematics
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Which of the following choices are equivalent to the expression below? Check
all that apply. X^3/5

Which of the following choices are equivalent to the expression below Check all that apply X35 class=

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Corsaquix
Corsaquix Corsaquix
  • 23-05-2021

Answer:

[tex]\text{C. }(x^3)^{1/5},\\\text{F. }\sqrt[5]{x^3}[/tex]

Step-by-step explanation:

Exponent properties state [tex](a^b)^c=a^{(b\cdot c)[/tex]. Therefore, [tex]{x^{(\frac{3}{5})}=(x^3)^\frac{1}{5}[/tex].

Recall that [tex]a^{(\frac{b}{c})}=\sqrt[c]{a^b}[/tex]. Thus, [tex]x^{(\frac{3}{5})}=\sqrt[5]{a^3}[/tex].

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