Simple math equation..?

Question

I solved the equation, but it says to express the answer as a single power of two...

so what does that mean?

the answer i got was 1 / 4096

so how do i express that as a single power of two?

Answer 1

That means you need to solve 2^N = 1/4096 for N. You will find that N = -12.

Answer 2

When a number is in the denominator,

it represents a negative power.

For example,

100 = 10² or 10^2

and

1/100 = 10 ^ (-2)

4096 is a power of 2, specifically 2^12

so 1/4096 = 2^(-12)

.