Final Answer:
The number coefficient of 7m^4n^6-3m^-5 when simplified is -21m^-9n^6 (Option B).
Step-by-step explanation:
In algebraic expressions, simplifying terms often involves combining coefficients and exponents to arrive at a concise and standardized form. In the given situation of 7m^4n^6-3m^-5, the task is to identify the number coefficient after simplification. By multiplying the numerical coefficients and consolidating the variable exponents, we can determine the simplified expression. Let's delve into the calculation to unveil the accurate number coefficient and select the corresponding option.
To find the number coefficient, we multiply the numerical coefficients of the terms. In this case, we have two terms: 7m^4n^6 and -3m^-5. The numerical coefficients are 7 and -3. Multiplying them gives -21. The variables m and n have exponents of -5 and 6, respectively. Combining these results in m^-9n^6.
Therefore, the simplified expression is -21m^-9n^6, matching Option B.