Question

How do you rewrite `1/(3x^-5)`?

Answer 1

`x^5/3`

Explanation:

Te negative exponent in the denominator can be made positive by moving the power (only, not the "3") to the numerator.

This is true, because the expression could be written

`1/(3/x^5)` treating the denominator in the same way you would if it were simply `3x^(-5)` = `3/(x^5)`

Now, looking again at the "fraction in the denominator" expression we have written, and remembering that dividing by a fraction is the same as multiplying by the reciprocal f that fraction,

`1/(3/x^5)` is equal to `x^5/3`