Final answer:
To simplify the expression -2x(-4y⁵) + 6y, distribute -2x across -4y⁵ and then combine like terms to get the final answer, which is 8xy⁵ + 6y.
Step-by-step explanation:
The question asks for the simpler form of the algebraic expression -2x(-4y⁵) + 6y. To simplify this expression, we distribute the -2x across the -4y⁵ and then combine any like terms.The simpler form of the expression -2x(-4y⁵) + 6y is 8xy⁵ + 6y.
To simplify the expression, we first distribute the -2x to -4y⁵ which gives us 8xy⁵. Then, we simply add 6y to get the final answer.Here are the steps:Multiply -2x by -4y⁵ to get 8xy⁵ (because a negative times a negative is a positive).Since there are no other y⁵ terms, we just bring down the +6y to complete the expression.The final simplified expression is 8xy⁵ + 6y, which is option (a).So, the final answer is 8xy⁵ + 6y.