How do you fill in the blank for the expression #(c^4)^?=c^12#?

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Answer 1 · 2015-10-11T13:14:23

#(c^4)^3=c^12#

This comes from the following rule for exponents

#(x^n)^m=x^(nm)#

Take your example above

#c^4=(c)(c)(c)(c)#

If we raise this to the third power we get

#[(c)(c)(c)(c)]^3=[(c)(c)(c)(c)][(c)(c)(c)(c)][ (c)(c)(c)(c)]#

There are #12# or #c^12#, count them.