II. SIMPLIFIED EXPRESSIONS. Simplify the following powers. 1. (a³ b³)² (a² b)³. 2. (3mnp)(2m²n⁴p)(m²p⁷)
Answer (1)
Answer:1. Simplify:(a3b3)2(a2b)3Step 1: Apply the power rule (xm)n=xm⋅n=a3⋅2b3⋅2⋅a2⋅3b1⋅3=a6b6⋅a6b3Step 2: Combine like terms2. Simplify:(3mnp)(2m2n4p)(m2p7)Step 1: Multiply coefficients3⋅2=6⇒6mnp⋅m2n4p⋅m2p7Step 2: Combine variables using exponent rules=6⋅m1+2+2⋅n1+4⋅p1+1+7Final Answer=6m5n5p9Step-by-step explanation:
