Question

How do you write `1/8` as a negative exponent?

Answer 1

`1/8=8^(-1)=2^(-3)`

Explanation:

Since from the laws of exponents we have that `x^(-n)=1/x^n`, it implies that we may write `1/8=8^(-1)`.

Alternatively, we may also use prime factorization to write it as

`1/8=1/2^3=2^(-3)`.