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Answer :
Final answer:
Statements (1.1)^10000 > 1000 and (1.1)^10000 > 100 are true because a larger exponent results in a larger outcome when the base is greater than 1. Hence, the number (1.1)^10000 is greater than either 100 or 1000.
Explanation:
The expressions (1.1)10000 and (1.1)1000 both revolve around the concept of exponents in mathematics. Essentially, we are raising the number 1.1 to the power of 10000 in the first case, and to the power of 1000 in the second case.
Exponents represent a power or index; they're an instruction to repeatedly multiply a number by itself. In these cases, the number being raised (the base) is 1.1, which is greater than 1. Therefore, a larger exponent will result in a larger outcome. That is, (1.1)10000 will be greater than (1.1)1000.
With respect to the question, the statements (1.1)10000 > 1000 and (1.1)10000 100 are true, while the statements (1.1)10000 < 1000 and (1.1)10000 < 100 are false.
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