Simplify the square root of of the fifth root of 64q^8v^6 or (√^5√64q^8v^6).
I see no way to simplify anything.
"square root of of the fifth root" is the 10th root.
Since none of the factors are above the 10th power, all you can say is
tenthroot (64q^8v^6)
1. Simplify the expression. ¡Ì625
2. Evaluate the expression for a = ¨C1 and b = 5.
5a ¨C 7
To simplify the expression √^5√64q^8v^6, you need to apply the rules of exponents and simplification of radicals.
Step 1: Simplify the outer fifth root.
The fifth root of 64 can be simplified to 2 because 2^5 = 2 × 2 × 2 × 2 × 2 = 32 × 2 = 64.
Step 2: Simplify the inner square root.
The square root of q^8 can be simplified as q^(8/2) = q^4.
Similarly, the square root of v^6 can be simplified as v^(6/2) = v^3.
Step 3: Combine the simplified terms.
The simplified expression becomes 2q^4v^3.
Therefore, the square root of the fifth root of 64q^8v^6, or √^5√64q^8v^6, simplifies to 2q^4v^3.