cheyennewilliams2026 cheyennewilliams2026
  • 02-02-2024
  • Mathematics
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Is x^2=x^1/2 always true

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karmenchong karmenchong
  • 02-02-2024

Answer:

[tex]x^2=x^{\frac{1}{2} }[/tex] only true when x = 1

Step-by-step explanation:

for [tex]base^{exponent}[/tex], where

  1. the base of the LHS (left hand side) = the base of RHS (right hand side)
  2. the exponent of the LHS ≠ the exponent of RHS

Then, there is only 1 possibility → base = 1

Therefore [tex]x^2=x^{\frac{1}{2} }[/tex] only true when x = 1

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