Question

Simplify the expression √−64⁢𝑦^8⁢𝑧^6 with positive rational exponents. Order the variables alphabetically.

Answer 1

√(−64 y^8 z^6) = √(−1)·√(64)·√(y^8)·√(z^6) = i·8·y^4·z^3 = 8i y^4 z^3.

(If you require real-valued principal roots for real variables, include absolute values: 8i y^4 |z|^3.)