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3^-1/2 x^1/2

express with radical signs instead of fractional exponents. rationalize the denominator.
please help

3^-1/2 x^1/2 express with radical signs instead of fractional exponents. rationalize-example-1

1 Answer

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Answer:


  • √(x/3)

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Use the following identities:


  • a^(-b)=1/a^b

  • a^(1/2)=√(a)

  • a^bc^b=(ac)^b

Apply the identities to the given expression:


  • 3^(-1/2)x^(1/2)=(3^(-1)x)^(1/2)=(x/3)^(1/2)=√(x/3)
User Sagar Waghmare
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