# Applying the laws of exponents, how do we simplify #(16^(-1/2))^(-1/2)# ?

##### 1 Answer

Sep 12, 2017

#### Explanation:

#"using the "color(blue)"laws of exponents"#

#•color(white)(x)(a^m)^n=a^(mn)#

#•color(white)(x)a^(m/n)=root(n)(a^m)#

#rArr(16^(-1/2))^(-1/2)=16^((1/2xx1/2))=16^(1/4)#

#rArr16^(1/4)=root(4)(16)=2#