Question

Which of the following represents the radical in simplest form? radical b^14
A. b^7
B. radical b^7
C. b^7 radical b

Answer 1

\[(b^{14})^{1/2}\]

using the chain rule, multiply the powers

Answer 2

\[b ^{(14)(1/2)}=b ^{7}\]

Answer 3

\[\sqrt{b ^{14}} = \sqrt{(b^7)(b^7)} = b^7\]