How do you simplify $(c^3)^4$ ?

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Answer 1 · 2016-10-02T21:51:30

$c^12$

While there is a law of indices which we could use, let's use basics.

$x^4 " means " x xx x xx x xx x$

In the same way $(c^3)^4 " means " c^3 xx c^3 xx c^3 xx c^3$

The bases are all the same, so add the indices to get $c^12$

A quicker method is using the power law : $(x^m)^n = x^(mxxn)$

"raising a power to another power, times the indices"

$(c^3)^4 = c^(3xx4) = c^12$

How do you simplify (c^3)^4(c^3)^4?