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Explanation:
Start by distributing the exponents out side of the parentheses. Once you do that use the distributive property to multiply the contents in the second parentheses into the first one.
Answer:
(y² * z⁻⁵)¹/²⁰ * (y²)⁶ = y ² * ¹/²⁰ * z⁻⁵*¹/²⁰ * y ²*⁶
= y ¹/¹⁰ * z ⁻¹/⁴ * y ¹²
= y ¹/¹⁰ ⁺ ¹² * z ⁻¹/⁴
= y ¹²¹/¹⁰ * z ⁻¹/⁴