How do I simplify this?

Question

#(3a^6)^3(15b)^0#

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Answer 1 · 2018-06-12T00:15:18

#27a^18#

Let's first notice that #x^0=1# and so we can simplify #(15b)^0=1#

This leaves:

#(3a^6)^3(1)=(3a^6)^3#

We can use the rule #(x^a)^b# to get rid of the cube:

#(3a^6)^3=3^3a^(6xx3)=27a^18#

We can't simplify any more so we stop here.