Final answer:
To simplify the expression 1.5m^7(-4m^5)^2, first apply the exponent to the terms inside the parentheses. Then, multiply the term outside the parentheses by the simplified expression inside the parentheses. The final simplified form is 24m^10.
Step-by-step explanation:
To simplify the expression 1.5m^7(-4m^5)^2, we first apply the exponent to the terms inside the parentheses:
(-4m^5)^2 = (-4)^2 * (m^5)^2 = 16m^10
Next, we multiply the 1.5 outside the parentheses by the simplified expression inside the parentheses:
1.5 * 16m^10 = 24m^10
Therefore, the simplified form of 1.5m^7(-4m^5)^2 is 24m^10.