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select “equivalent” or “not equivalent” to indicate whether the expression above is equivalent or not equivalent to the values or expressions in the last column

select equivalent or not equivalent to indicate whether the expression above is equivalent or not equivalent to the values or expressions in the last column class=

Respuesta :

sqdancefan

9514 1404 393

Answer:

  • Equivalent
  • Not Equivalent
  • Equivalent
  • Not Equivalent

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

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The left-side expressions (all the same) can be simplified to ...

  (7^(1/5))·(49^(7/5)) = (7^(1/5))·((7^2)^(7/5))

  = (7^(1/5))·(7^(14/5)) . . . . . . matches 3rd right-side expression

  = 7^(1/5 +14/5) = 7^(15/5) = 7^3

  = 343 . . . . . . . . . . . . . . . . . . matches 1st right-side expression

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49 is obviously not equivalent to 343.

49^(2/10) is obviously not equivalent to 49^(7/5).