The expression v^7 = 2.6457 can be written as a power with a rational exponent: v = (2.6457)^(1/7).
To determine if it is rational or irrational, we need to determine if the value inside the parentheses, 2.6457, is rational or irrational.
The value 2.6457 is a decimal and not a perfect square, thus it is irrational.
Therefore, v = (2.6457)^(1/7) is an irrational number.
v^7 = 2.6457 rational or irrational
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