2 to the power of what is 1/64

To find out what power of 2 equals 1/64, we can set up the equation:

Equation: 2^x = 1/64

We know that 64 = 2⁶, so we can rewrite 1/64 as:

1/64 = 2^-6

Now we have:

2^x = 2^-6

Since the bases are the same, we can equate the exponents:

x = -6

Therefore, 2 to the power of -6 is 1/64.

How it works:

This tool calculates \(2^N\) where N is the number you enter.

Common Calculations:

• 2 to the power of -4 = 0.0625
• 2 to the power of -1 = 0.5
• -1 to the power of 2 = 1
• -4 to the power of 2 = 16
• 2 to the power of -5 = 0.03125
• 4 to the power of 2 = 16
• 2 to the power of -6 = 0.015625（1/64）

Exponentiation is a form of operation of rational number exponentiation, which represents the relationship of multiplying several identical factors, such as:

2 to the power of 3 = 2*2*2 = 8. 2 to the power of 3, here 2 is the base, 3 is the exponent, and 8 is the power, which is the result.