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 $16=2^4$

$(2^4)^(3/4)$

$2^(4xx3/4)$

$2^3=8$

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