Question

Which expression is equivalent to (14x³y⁻⁴)(4x⁻⁵y⁴)?

1) (56x⁻²y⁰)
2) (56x⁻²y⁰)
3) (56x⁻²y⁰)
4) (56x⁻²y⁰)

Answer 1

The expression (14x³y⁻⁴)(4x⁻⁵y⁴) is equivalent to (56x⁻²y⁰).

Step-by-step explanation:

To simplify the expression (14x³y⁻⁴)(4x⁻⁵y⁴), we can multiply the coefficients and add the exponents of the variables. The coefficient 14 multiplied by 4 equals 56. The variable x raised to the power of 3 multiplied by x raised to the power of -5 equals x raised to the power of (3 + (-5)) = x⁻². The variable y raised to the power of -4 multiplied by y raised to the power of 4 remains y⁰. Therefore, the expression is equivalent to (56x⁻²y⁰).