How do you simplify #x^-2# and write it using only positive exponents?

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Answer 1 · 2016-10-17T17:36:35

#1/x^2#

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

#color(red)(bar(ul(|color(white)(a/a)color(black)(a^-mhArr1/a^m)color(white)(a/a)|)))#

Thus #x^-2=1/x^2#

Answer 2 · 2016-10-17T17:36:38

#1/x^2#

Negative index rule:

#a^-b=1/a^b#

Using this rule, we know that #x^-2# can be rewritten as #1/x^2#