Use Specific Values for M and N In$\left( a ^ { m } \right) ^ { n } = a ^ { m n }$

Question

Examlex · Accepted Answer

The Answer is Let

m = \frac { 1 } { 2 } ext { and } n = 2

Then

\left( a ^ { \frac { 1 } { 2 } } ight) ^ { 2 } = a ^ { \frac { 1 } { 2 } \cdot 2 } = a ^ { 1 } = a

So

a ^ { \frac { 1 } { 2 } }

, when squared, gives a. That is,

a ^ { \frac { 1 } { 2 } }

must be

\sqrt { a }

.

Use Specific Values for M and N In $\left( a ^ { m } \right) ^ { n } = a ^ { m n }$