Problem

(c) $-16^{\frac{3}{4}}$
This expression is interpreted as the opposite of $16^{\frac{3}{4}}$ which can be expressed as $-\left[(\sqrt[4]{16})^{3}\right]$.
\[
-16^{\frac{3}{4}}=
\]

Answer

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Answer

Final Answer: \(\boxed{-8.0}\)

Steps

Step 1 :Interpret the expression as the opposite of $16^{\frac{3}{4}}$ which can be expressed as $-[(\sqrt[4]{16})^{3}]$

Step 2 :Calculate the fourth root of 16, which is 2.0

Step 3 :Raise the result to the power of 3, which gives 8.0

Step 4 :Negate the result to get the final answer, which is -8.0

Step 5 :Final Answer: \(\boxed{-8.0}\)

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