Question

Simplify the expression: (-3m^2)(-5m^7). Explain your process and justify each step by naming the appropriate property.

Answer 1

To simplify the expression (-3m^2)(-5m^7), multiply the coefficients together and add the exponents of m.

Step-by-step explanation:

To simplify the expression (-3m^2)(-5m^7), we can multiply the coefficients together and apply the rule of exponents.

1. Start by multiplying -3 and -5 to get 15.
2. Next, apply the rule of exponents by adding the exponents of m. In this case, the exponents are 2 and 7, so add them together to get 9.

Therefore, the simplified expression is 15m^9.