Which expression is equivalent to square root of 128 x to the 8th power y cubed z to the 9th power end root ? Assume y is greater than or equal to 0 and z is greater than or equal to 0

Factor out perfect squares: 128 = 64·2, x⁸ = (x⁴)², y³ = y²·y, and z⁹ = (z⁴)²·z. Taking the square root gives 8x⁴yz⁴√(2yz), using the assumptions that y and z are nonnegative. This matches choice C, 8x⁴yz⁴√(2yz).

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