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Simplify.

(-32)^(-(4)/(5))

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Simplify.\newline(32)45(-32)^{\frac{-4}{5}}\newline

Full solution

Q. Simplify.\newline(32)45(-32)^{\frac{-4}{5}}\newline
  1. Recognize expression format: Step 11: Recognize the expression format and break it down.(32)(45) (-32)^{-(\frac{4}{5})} can be rewritten as 1((32)45) \frac{1}{((-32)^{\frac{4}{5}})} .
  2. Calculate fifth root: Step 22: Calculate the fifth root of 32-32.\newlineThe fifth root of 32-32 is 2-2, because (2)5=32(-2)^5 = -32.
  3. Raise to power of 44: Step 33: Raise 2-2 to the power of 44.(2)4=16(-2)^4 = 16, since multiplying 2-2 by itself four times results in 1616.
  4. Place result as denominator: Step 44: Place the result under one as a denominator, as per the negative exponent rule. 116\frac{1}{16} is the simplified form of the original expression.

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