Question

1. simplify: (-x^7y^4)·(-2x^2y^3)

Explanation:

Step1: Multiply the coefficients

$(-1)\times(-2) = 2$

Step2: Use exponent - rule for multiplying variables with the same base

For $x$: $x^{7}\times x^{2}=x^{7 + 2}=x^{9}$; for $y$: $y^{4}\times y^{3}=y^{4+3}=y^{7}$

Step3: Combine the results

$2x^{9}y^{7}$

Answer:

$2x^{9}y^{7}$