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

1 Answer
Aug 3, 2016

Answer:

#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)#