What is 2 to the power of 9?

2 to the power of 9, written as 2⁹, equals 512. This is calculated by multiplying the base, which is 2, by itself a total of 9 times.

To break it down:

• 2 x 2 = 4
• 4 x 2 = 8
• 8 x 2 = 16
• 16 x 2 = 32
• 32 x 2 = 64
• 64 x 2 = 128
• 128 x 2 = 256
• 256 x 2 = 512

Alternatively, we can also represent it as powers of 2:

2¹ = 2

2² = 4

2³ = 8

2⁴ = 16

2⁵ = 32

2⁶ = 64

2⁷ = 128

2⁸ = 256

2⁹ = 512

This shows clearly how exponential growth works—each step raises the result by a factor of 2. So whenever you see a power of 2, it indicates how many times you are doubling a number, which leads us to the final answer of 512 for 2⁹.