Answer
Yes,we can represent the given expression using one exponent
Work Step by Step
The given expression : $49x^{2}y^{2}z^{2}$
It can be written as : $7^{2}x^{2}y^{2}z^{2}=(7xyz)^{2}$
(since $a^{m}b^{m}=(ab)^{m}$)
Which uses only one exponent.