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.

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