Question

3^-1/2 x^1/2

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

Answer 1

• 
  `√(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)`