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RSB [31]
2 years ago
9

select “equivalent” or “not equivalent” to indicate whether the expression above is equivalent or not equivalent to the values o

r expressions in the last column

Mathematics
1 answer:
Volgvan2 years ago
7 0

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)

__

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

__

49 is obviously not equivalent to 343.

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

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<h3>How to get system B from system A?</h3>

Here we have the two systems of equations:

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B:

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