Question

How do you simplify `(3/4)^-1` and write it using only positive exponents?

Answer 1

`(3/4)^-1 = (4/3)^1` to write it using only positive exponents

Explanation:

The negative exponent in this expression requires that we invert the fraction, which is the same as taking the inverse of the value of the fraction.

The inverse of `3/4 = 1/(3/4) = 1/1*4/3 = 4/3`

Then;`(3/4)^-1 = (4/3)^1` to write it using only positive exponents

The final simplification would be: `(3/4)^-1 = (4/3)^1 = (4/3) = 1 1/3`