Simplify the root.
${-}^4\sqrt{10,000}$

• A. $-10$
• B. $10$
• C. $0.1$
• D. $-100$

Answer: (A)

Verified step by step guidance

1. Identify the expression to simplify: the negative fourth root of 10,000, which can be written as \(-\sqrt[4]{10,000}\).
2. Rewrite 10,000 as a power of 10: since \$10,000 = 10^4$, substitute this into the expression to get \(-\sqrt[4]{10^4}\).
3. Apply the property of radicals that \(\sqrt[n]{a^n} = a\) for \(a \geq 0\), so \(\sqrt[4]{10^4} = 10\).
4. Include the negative sign outside the root, so the expression becomes \(-10\).
5. Thus, the simplified form of the expression is \(-10\).