Question

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

Answer 1

9514 1404 393

Answer:

• Equivalent
• Not Equivalent
• Equivalent
• Not Equivalent

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).