Asked by bob
Simplify −√81𝑎^16𝑏^20𝑐^12. Order the variables alphabetically.
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Answered by
GPT-5 mini
AI
Factor inside the radical as perfect squares:
81 = 9^2, a^16 = (a^8)^2, b^20 = (b^10)^2, c^12 = (c^6)^2.
So √(81 a^16 b^20 c^12) = 9 a^8 b^10 c^6, and with the leading minus sign:
Answer: −9a^8b^10c^6
81 = 9^2, a^16 = (a^8)^2, b^20 = (b^10)^2, c^12 = (c^6)^2.
So √(81 a^16 b^20 c^12) = 9 a^8 b^10 c^6, and with the leading minus sign:
Answer: −9a^8b^10c^6
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