Question

2 raised to what power is equal to 128?
Responses

9th power
6th power
8th power
7th power

Answer 1

To find what power \( x \) satisfies the equation \( 2^x = 128 \), we start by expressing 128 as a power of 2.

Noting that:

- \( 2^1 = 2 \)
- \( 2^2 = 4 \)
- \( 2^3 = 8 \)
- \( 2^4 = 16 \)
- \( 2^5 = 32 \)
- \( 2^6 = 64 \)
- \( 2^7 = 128 \)

We see that \( 2^7 = 128 \).

Thus, the answer is:

**7th power**