Recognize expression format: Step 1: Recognize the expression format and break it down.(−32)−(54) can be rewritten as ((−32)54)1.
Calculate fifth root: Step 2: Calculate the fifth root of −32.The fifth root of −32 is −2, because (−2)5=−32.
Raise to power of 4: Step 3: Raise −2 to the power of 4.(−2)4=16, since multiplying −2 by itself four times results in 16.
Place result as denominator: Step 4: Place the result under one as a denominator, as per the negative exponent rule. 161 is the simplified form of the original expression.