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

1 Answer
Oct 2, 2016

Answer:

#c^12#

Explanation:

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#