Question

Simplify (2x³y⁴)*(3²x⁻¹y⁵).

Answer 1

To simplify the expression (2x³y⁴)*(3²x⁻¹y⁵), multiply the coefficients and add the exponents for the x and y terms.

Step-by-step explanation:

To simplify the expression (2x³y⁴)*(3²x⁻¹y⁵), we can use the properties of exponents.

1. Multiply the coefficients: 2 * 3² = 18.
2. For the x terms, add the exponents: x³ * x⁻¹ = x³⁻¹ = x².
3. For the y terms, add the exponents: y⁴ * y⁵ = y⁴⁺⁵ = y⁹.

Therefore, the simplified expression is 18x²y⁹.