Explain how you would simplify the fifth root of -375a raise to the power of 11, b raise to the power of 15, and c raise to the power of 7 [no decimals]. List at least 3 steps in an orderly, easy-to-follow manner.
Explain how you would simplify the fifth root of -375a^11 b^15 c^7 [no decimals]. List at least three steps.?
(-375a^11 * b^15 * c^7)^(1/5)
Separate out indices with multiples of 5 :
= [(-375a^10 * a) * (b^15) * (c^5 * c^2)]^(1/5)
= (a^10 * b^15 * c^5)^(1/5) * (-375a * c^2)^(1/5)
= a^2 * b^3 * c * (-375a * c^2)^(1/5)
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