Question

Apply Laws of Exponents to write equivalent expressions.

5m4n−2 ⋅ (−9m3n8)

Answer 1

Use the product rule (add exponents for like bases):

5m^4 n^(−2) · (−9 m^3 n^8)
= (5·−9) m^(4+3) n^(−2+8)
= −45 m^7 n^6