Question

Which expression is equivalent to 2^-1/2^4

Answer 1

answer the question in a different way

Answer 2

To simplify the expression 2^(-1) / 2^4, we can use the rule that states a^m / a^n = a^(m-n).

In this case, since the bases (2) are the same, we subtract the exponents:

2^(-1) / 2^4 = 2^(-1-4) = 2^(-5).

Therefore, the expression 2^-1 / 2^4 is equivalent to 2^(-5).

Answer 3

Another way to answer the question using properties of exponents is to remember that 2^(-n) is equal to 1 / 2^n.

So, 2^(-1) is equal to 1 / 2^1, which simplifies to 1/2.

And, 2^4 is equal to 2 * 2 * 2 * 2 = 16.

Therefore, 2^(-1) / 2^4 is the same as (1/2) / 16.

Simplifying this fraction, we can write (1/2) / 16 as 1 / (2 * 16), which is equal to 1 / 32.

So, the expression 2^-1 / 2^4 is equivalent to 1/32.