How to express 2 to the power of 64?

Powers or exponents are defined as the total number of times we use the number in a multiplication. For example, 7 to the power of 3 means 7 is multiplied 3 times.

Answer: 2 to the power of 64 can be expressed as 2⁶⁴ = 2 × 2 × 2 × 2 × … 64 times = 1.8446744e+19

Let us proceed step by step to write 2 to the power of 64.

Explanation:

The two crucial terms used frequently in exponents are base and powers.

To find 2 to the power of 64, we can write it in exponent form as 2⁶⁴, where 2 is base and 64 is power.

Let us simplify this first: 2⁶⁴ = (2⁸)⁸ = (256)⁸ 

We can also rewrite it in exponent form as 256⁸ where 256 is base and 8 is power.

It means 256 is multiplied 8 time. So, 2⁶⁴ =  (256)⁸ = 256 × 256 × 256 × 256 × 256 × 256 × 256 × 256 = 1.8446744e+19

Hence, 2 to the power of 64 can be expressed as 2⁶⁴ = 2 × 2 × 2 × 2 × … 64 times = 1.8446744e+19