How do you simplify #(1/16)^(-3/4)#?

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Answer 1 · 2018-05-07T00:59:01

#(1/16)^(-3/4)=8#

We can use the following rules to figure this out:

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

#(x^a)^b=x^(ab)#

We can now start working. Let's first use the second rule:

#(1/16)^(-3/4)#

#16^(3/4)#

Notice that #16=2^4#

#(2^4)^(3/4)#

#2^(4xx3/4)#

#2^3=8#