Final answer:
When multiplying exponential expressions with the same base, you add the exponents. 11 to the 4th power times 5 to the 3rd power is not a factor of 11 to the 5th power times 5 to the 3rd power.
Step-by-step explanation:
When multiplying exponential expressions with the same base, you add the exponents. In this case, 11 to the 4th power times 5 to the 3rd power has the base 11, so the exponents 4 and 3 are added: 4 + 3 = 7. Therefore, 11 to the 4th power times 5 to the 3rd power can be written as 11 to the 7th power. To determine if it is a factor of 11 to the 5th power times 5 to the 3rd power, we need to compare the exponents. The exponent for 11 in 11 to the 7th power is greater than the exponent for 11 in 11 to the 5th power, so 11 to the 4th power times 5 to the 3rd power is not a factor of 11 to the 5th power times 5 to the 3rd power. Therefore, the answer is b) No.