Final answer:
To calculate the quotient (8x⁶yz⁴)/(44x⁴y¹²z⁸), divide the coefficients and subtract the exponents for each variable: 0.1818x²y⁻⁸z⁻⁴.
Step-by-step explanation:
To calculate the quotient (8x⁶yz⁴)/(44x⁴y¹²z⁸), we divide the coefficients and subtract the exponents of each variable. The coefficient 8 divides by 44 to give 0.1818 (rounded to four decimal places).
For the variable x, the exponent 6 subtracts 4 to give 2. For the variable y, the exponent 4 subtracts 12 to give -8. For the variable z, the exponent 4 subtracts 8 to give -4.
Therefore, the quotient is 0.1818x²y⁻⁸z⁻⁴.