Simplify the root.
${-}^5\sqrt{1024}$

• A. $4$
• B. $-4$
• C. $0.16$
• D. $-160$

Answer: (B)

Verified step by step guidance

1. Identify the expression to simplify: the negative square root of 1024, written as \(-\sqrt{1024}\).
2. Recall that the square root of a number \(a\) is a value \(b\) such that \(b^2 = a\). So, find the number whose square is 1024.
3. Calculate \(\sqrt{1024}\) by recognizing that 1024 is a perfect square (since \(32^2 = 1024\)).
4. Apply the negative sign outside the square root to the result found in the previous step, giving \(-32\).
5. Write the simplified expression as \(-32\), which is the simplified form of the original expression.