How do you simplify #(\frac { 5} { q ^ { 3} } ) ^ { 2}#?

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Answer 1 · 2017-12-07T06:02:03

#25/q^6=25q^-6#

#(5/q^3)^2#

We can separately square the numerator and denominator. There are a couple of ways to show this. Here's one:

#(5/q^3)(5/q^3)=(5xx5)/(q^3q^3)=5^2/(q^3)^2#

We can use the rule #(x^a)^b=x^(ab)# on the denominator:

#25/q^6#

Let's go one more step - instead of having a denominator, let's use the rule #x^-1=1/x# to rewrite:

#25q^-6#