How do you simplify #(x^-6)^4#?

1 Answer
Jul 17, 2016

Answer:

#x^(-24)=1/x^(24)#

Explanation:

Using the #color(blue)"laws of indices"#

#color(orange)"Reminder"#

#color(red)(|bar(ul(color(white)(a/a)color(black)((a^m)^n=a^(mn))color(white)(a/a)|)))" and "color(red)(|bar(ul(color(white)(a/a)color(black)(a^-mhArr1/a^m)color(white)(a/a)|)))#

#rArr(x^(-6))^4=x^(-6xx4)=x^(-24)=1/x^(24)#