Question

Multiply: (9x^2y^3)(7xy^2)

Answer 1

(9x²y³)(7xy²)

9 * 7 = 63
x² * x = x^2+1 = x³
y³ * y² = y^3+2 = y^5

(9x²y³)(7xy²) = 63x³y^5

Answer 2

Remember
(ab)(cd)=(a)(b)(c)(d)=(ac)(bd),
and
(x^m)(x^n)=x^(m+n)

(9x^2y^3)(7xy^2)=
(9)(x^2)(y^3)(7)(x)(y^2)=
(9)(7)(x^2)(x)(y^3)(y^2)=
(63)(x^3)(y^5)=
63x^3y^5