Powers with positive bases
A. How can we simplify: (2*x*^{4})^{3}?
(2*x*^{4})^{3} = 2*x*^{4} **·** 2*x*^{4} **·** 2*x*^{4} = 2 **·** 2 **·** 2 **·** *x*^{4 } **·** *x*^{4} **·** *x*^{4} = 8 **·** *x*^{3 · 4} = 8*x*^{12}
B. How can we simplify: (3*b*^{2}*c*)^{3}?
(3*b*^{2}*c*)^{3} = (3*b*^{2}*c*)(3*b*^{2}*c*)(3*b*^{2}*c*) = 3 **·** 3 **·** 3 **·** *b*^{2} **·** *b*^{2} **·** *b*^{2} **·** *c* **·** *c* **·** *c* =
= 27*b*^{2·3}*c*^{1·3} = 27*b*^{6}*c*^{3
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