Final answer:
Given x=2 and y=0, the square root of 16x³y⁶ simplifies to 16*8*0, which is 0, and the square root of 0 is 0, so the answer is a) 0.
Step-by-step explanation:
Assuming x=2 and y=0, the square root of 16x³y⁶ is calculated as follows:
Substitute the given values for x and y into the expression, resulting in 16*(2)³*(0)⁶.
Calculate the exponent for x, which gives us (2)³ = 8.
Note that any number raised to the power of zero is 1, and the product of any number and zero is zero, so (0)⁶ is zero, and multiplying by zero results in zero.
The expression simplifies to 16*8*0, which equals 0.
The square root of 0 is still 0, so the final answer is 0.
Therefore, the correct answer is a) 0.
To find the square root of 16x³y⁶, we need to substitute the given values of x and y into the expression and simplify. With x = 2 and y = 0:
16x³y⁶ = 16(2)³(0)⁶ = 16(8)(0) = 0
So the square root of 16x³y⁶ is 0. Therefore, the correct answer is (a) 0.