Final answer:
To multiply two numbers expressed as powers of ten, multiply the numbers out front and add the exponents. In this case, the product of (1000)10 by (1001t)en is 1001000ten.
Step-by-step explanation:
To multiply two numbers expressed as powers of ten, you need to multiply the numbers out front and then add the exponents. In this case, we have (1000)10 multiplied by (1001t)en. The number out front in the first term is 1000 and the exponent is 10. The number out front in the second term is 1001t and the exponent is en.
Multiplying the numbers out front gives us 1000 * 1001t = 1001000t. Adding the exponents, we have 10 + en = 10 + 1 = 11. Therefore, the product is 1001000t * 10^11, which can be written as 1001000ten.
So, the answer is 1001000ten (C).