Question

How many positive integers smaller than $1{,}000{,}000$ are powers of $2$, but are not powers of $8$? you may find it useful to consider that $2^{10}=1024$?

Answer 1

13!!!!!!!!!

Answer 2

2^19 is the highest you can go lower than 1,000,000.

8^6 is the highest you can go lower than 1,000,000

just Subtract the Exponents.
19-6=13

2^13 so there are 13 integers that are the power of 2 but not the power of 8 and less than 1,000,000.