Question

Find the missing exponent
2=512​

Answer 1

`2^9=512`

The missing exponent is 9

Explanation:

List some exponents with base of 2:

`2^1=2\\ \\2^2=2\cdot 2=4\\ \\2^3=2^2\cdot 2=4\cdot 2=8\\ \\2^4=2^2\cdot 2=8\cdot 2=16\\ \\2^5=2^4\cdot 2=16\cdot 2=32\\ \\2^6=2^5\cdot 2=32\cdot 2=64\\ \\2^7=2^6\cdot 2=64\cdot 2=128\\ \\2^8=2^7\cdot 2=128\cdot 2=256\\ \\2^9=2^8\cdot 2=256\cdot 2=512`

Therefore, we get

`2^9=512`

The missing exponent is 9