eizabeth1430 eizabeth1430
  • 21-10-2021
  • Mathematics
contestada

Write the missing exponent that makes the equation true: 4^t times 2^t = 2^what

Respuesta :

JoshEast
JoshEast JoshEast
  • 21-10-2021

Answer:  what = 3t  

Step-by-step explanation:

            4^t × 2^t = 2^what         [convert all terms to the same base (2)]

∴   2^t × 2^t × 2^t = 2^what       [use the multiplicat law of exponents]

              2^(t+t+t) = 2^what       [simplify]

                   2^3t =  2^what

   

                     what = 3t    

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