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L&E, 2ADV E1 2019 HSC 3 MC

What is the value of  `p` so that  `(a^2a^(-3))/sqrt a = a^p`?

  1. `-3`
  2. `-3/2`
  3. `-1/2`
  4. `12`
Show Answers Only

`B`

Show Worked Solution
`(a^2 a^(-3))/a^(1/2)` `= a^(-1) xx a^(-1/2)`
  `= a^(-3/2)`

 
`=>  B`

Filed Under: Indices, Log/Index Laws and Equations (Adv-2027), Log/Index Laws and Equations (Y11) Tagged With: Band 4, num-title-ct-pathc, num-title-qs-hsc, smc-4228-60-Fractional indices, smc-6455-50-Exponential Equations, smc-963-50-Exponential Equation

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