Question

How do you simplify and write `3x^-2y^-5` with positive exponents?

Answer 1

`3/(x^2y^5)`

Explanation:

Using the `color(blue)"law of exponents"`

`color(orange)"Reminder" color(red)(|bar(ul(color(white)(a/a)color(black)(a^-mhArr1/a^m)color(white)(a/a)|)))`

`rArr3x^-2y^-5=3/1xx1/x^2xx1/y^5`

We are effectively multiplying 3 fractions together.

`rArr3x^-2y^-5=(3xx1xx1)/(1xxx^2xxy^5)=3/(x^2y^5)`