Question

Which expression is equivalent to the expression shown 10^4 4^10 + 4^5?

A) 10^4 + 4^10 + 4^5
B) 10^4 * 4^10 + 4^5
C) 10^4 * (4^10 + 4^5)
D) (10^4 * 4^10) + 4^5

Answer 1

The correct equivalent expression to 10^4 4^10 + 4^5, assuming multiplication between the 10^4 and 4^10 terms, is (10^4 * 4^10) + 4^5, which corresponds to answer choice D.

Step-by-step explanation:

The expression in question is 10^4 4^10 + 4^5, which can be tricky to interpret due to the lack of explicit operators between some of the terms. Let's clarify the mathematical operations involved: if we assume the first two terms are meant to be multiplied, the expression becomes 10^4 * 4^10 added to 4^5. We do not add the powers together because the bases (10 and 4) are different. Using this understanding, the correct expression that is equivalent to the original statement is (10^4 * 4^10) + 4^5, which corresponds to answer choice D.