(-8p^2q)(-4p^4q^5)=?
(-8p2q)(-4p4q5)
Put each factor in separate parentheses:
(-8)(p2)(q)(-4)(p4)(q5)
Rearrange them with numbers first, p's next, q's last
(-8)(-4)(p2)(p4)(q)(q5)
Multiply the numbers (-8)(-4) = +32
32(p2)(p4)(q)(q5)
To multiply (p2)(p4), add the exponents p2+4 = p6
32p6(q)(q5)
Give the q the exponent 1
32p6(q1)(q5)
To multiply (q1)(q5), add the exponents q1+5 = q6
32p6q6
Edwin
AnlytcPhil@aol.com