Final answer:
Multiplying powers with the same base involves adding the exponents, which in this case gives us 2 raised to the power of 10.
Step-by-step explanation:
When multiplying powers of the same base, we add the exponents. In this case, we have 23 · 23 · 24, which simplifies to 23+3+4. Adding the exponents, we get 210, which means the correct answer is 210 or option C) 210.