Rewrite this as an rational exponent:
(√7mn)^7
To rewrite (√7mn)^7 as a rational exponent, we need to express the square root (√) as a fractional exponent. The square root (√) can be written as an exponent of 1/2.
So, we have (√7mn)^7 = (7^(1/2)mn)^7.
Next, we can use the property of exponents that states (a^m)^n = a^(m*n) to simplify the expression further.
Using this property, we can rewrite (7^(1/2)mn)^7 as 7^(7*(1/2)*mn).
Simplifying further, we have 7^(7/2 * mn).
Therefore, (√7mn)^7 can be written as 7^(7/2 * mn).