6.

Question

(01.03 MC)

Which expression is equivalent to 24 ⋅ 2−7? (5 points)

1 over 2 to the power 11

1 over 2 to the power 3

23

211

Answer 1

To find the equivalent expression of 24 ⋅ 2−7, we can simplify the power of 2 first.

2 to the power of -7 is the same as 1 divided by 2 to the power of 7 (since a negative exponent means to take the reciprocal).

So, 2−7 = 1/2^7.

Now we can substitute this value back into the original expression:

24 ⋅ (1/2^7) = 24/2^7.

This means the correct answer is "1 over 2 to the power 7."