Answer
False
Correct Statement: $m^{2/3} \cdot m^{1/3} = m$
Work Step by Step
RECALL:
(1) $a^{-m} = \dfrac{1}{a^m}$
(2) $\dfrac{a^m}{a^n} = a^{m-n}$
(3) $a^1=a$
(4) $a^m\cdot a^n = a^{m+n}$
Use rule (4) above to obtain:
$m^{2/3} \cdot m^{1/3}=m^{2/3+1/3}=m^1=m$
Thus, the given statement is false.
The correct statement is: $m^{2/1} \cdot m^{1/3} = m$
