QuestionMay 5, 2026

1. What is the simplified form of -sqrt ((y+5)^16) A. (y+5)^8 B. -(y+5)^8 C. (y+5)^4 D. -(y+5)^4

1. What is the simplified form of -sqrt ((y+5)^16) A. (y+5)^8 B. -(y+5)^8 C. (y+5)^4 D. -(y+5)^4
1. What is the simplified form of
-sqrt ((y+5)^16)
A. (y+5)^8
B. -(y+5)^8
C. (y+5)^4
D. -(y+5)^4

Solution
4.4(191 votes)

Answer

B. -(y+5)^{8} Explanation 1. Apply square root exponent rule \sqrt{a^{n}} = a^{n/2}. Here a = (y+5)^{16}, so \sqrt{(y+5)^{16}} = (y+5)^{16/2} = (y+5)^{8}. 2. Apply negative sign The expression has a leading minus, so result is -(y+5)^{8}.

Explanation

1. Apply square root exponent rule <br /> $\sqrt{a^{n}} = a^{n/2}$. Here $a = (y+5)^{16}$, so $\sqrt{(y+5)^{16}} = (y+5)^{16/2} = (y+5)^{8}$.<br />2. Apply negative sign <br /> The expression has a leading minus, so result is $-(y+5)^{8}$.
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