Question

Express (64)^1/X as a power of 2

Answer 1

Step-by-step explanation:

It’s big. Very big.

Here’s an explanation:

20=1

21=2

22=2∗2=4

24=2∗2∗2∗2=16

28=2∗2∗2∗2∗2∗2∗2∗2=256

You can hopefully see a pattern. This means:

264=2∗2∗2…(2multiplied64times)

Since 64 is 8*8, you could also solve it this way:

264=28∗28∗28∗28∗28∗28∗28∗28

And since we know that 2^8 is 256, you can write that as:

264=256∗256∗256∗256∗256∗256∗256∗256