To find 2 to the 6th power, we simply need to calculate 2 raised to the power of 6. This means we multiply the base (which is 2) by itself 6 times. The mathematical expression looks like this:
2^6 = 2 × 2 × 2 × 2 × 2 × 2
Now, let’s perform the multiplication step by step:
- First, we multiply the first two 2’s: 2 × 2 = 4
- Next, we take that result and multiply it by the next 2: 4 × 2 = 8
- Continuing this process, we multiply 8 by the next 2: 8 × 2 = 16
- Next, multiply 16 by the next 2: 16 × 2 = 32
- Finally, multiply 32 by the last 2: 32 × 2 = 64
So, 2 to the 6th power equals 64.
this can also be verified through exponent rules or by using a calculator, but the fundamental idea is simple: it is repeated multiplication of the base number, in this case, 2, for a total of 6 times.