What is #(2b)^3# where #b=3#?

1 Answer
Arnav
Dec 16, 2016

216

Explanation:

#2b# means #2xxb#.

Note that #(2b)^3# and #2b^3# are different. In the first case, the power, 3 is applied to the multiple of #2# and #b#, whereas in the second case, the power is applied to #b# only.

Coming back to the question,

#(2b)^3 = (2xx3)^3 = 6^3 = 6xx6xx6 = 216#

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