Finding the value of the powers of 2
We can find each power of $2$ as a number, and then add all of the numbers together, and see what the answer is as a power of $2.$
Using pairs of equal numbers
Notice $2^4+2^4$ can also be written as $2\times2^4$ or $2^1\times2^4$, which is equal to $2^5$.
But now we have $2^5+2^5$, which simplifies to $2^6$ in exactly the same way: $2^5+2^5=2\times2^5=2^6$.
So $2^6+2^5+2^5=2^6+2^6$, which is equal to $2\times2^6=2^7$.
Factorising and using index laws
Notice that all of the numbers in the sum are multiples of $2^4$, since $2^6=2^2\times2^4,2^5=2\times2^4,2^4=1\times2^4.$ So