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

Question

2125 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-06-21T02:11:49

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

Use the following:
1] $x^-a=1/x^a$
2] $x^(m/n)=rootn(x^m)$
In your case:
$(1/16)^(-3/4)=1/(1/16)^(3/4)=(16)^(3/4)=root4(16^3)=root4(4096)=8$

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