The expression square root 7^5 * square root 7 is equivalent to
To simplify the expression, we can use the property that the square root of a product is equal to the product of the square roots.
So, sqrt(7^5) * sqrt(7) becomes sqrt(7^(5+1)) = sqrt(7^6).
Since the square root and the square are inverse operations, sqrt(7^6) can also be written as (7^6)^(1/2), which simplifies to 7^(6/2).
The exponent 6/2 can be simplified to 3, so the expression becomes 7^3.
Therefore, "square root of 7^5 * square root 7" is equivalent to "7^3".