Answer:
The expression ((49)/(16))^(-(1)/(2)) can be simplified by following the order of operations.
Step 1: Simplify the exponent.
The exponent -(1)/(2) means to take the reciprocal and square root of the base.
Since the base is (49)/(16), the reciprocal is (16)/(49) and the square root is (7)/(4).
Step 2: Substitute the simplified exponent back into the expression.
Now, we substitute (7)/(4) for the exponent in the expression ((49)/(16))^(-(1)/(2)).
So, the simplified expression is ((49)/(16))^((7)/(4)).
Keep in mind that I simplified the exponent using the negative reciprocal rule and the fractional exponent rule. It is important to understand these rules to solve similar problems.