6.

Question

(01.03 MC)

Which expression is equivalent to 2 to the power 4 ⋅ 2−^7? (5 points)

1 over 2 to the power 11

1 over 2 to the power 3

2^3

2^11

Answer 1

To simplify the expression 2^4 ⋅ 2^-7, we can use the rule that states that when you multiply two numbers with the same base, you add the exponents.

Thus, 2^4 ⋅ 2^-7 can be simplified to 2^(4 + (-7)) = 2^-3.

Therefore, the expression is equivalent to 1 over 2^3.

So, the correct answer is: 1 over 2 to the power 3.