Write $- \sqrt [ 6 ] { x + y }$ using positive rational exponents.
A) $( x + y ) ^ { - \frac { 1 } { 6 } }$
B) $( - x - y ) ^ { \frac { 1 } { 6 } }$
C) $- ( x + y ) ^ { \frac { 1 } { 6 } }$
D) $- ( x + y ) ^ { 6 }$

Question

Quizplus · Accepted Answer

The negative sign outside the radical indicates that the entire expression is negative, so we need to choose the answer that has a negative sign outside of the exponent. Option A is incorrect because the exponent is negative and not positive. Option B is incorrect because the expression inside the parentheses is negative, but we need it to be positive. Option D is incorrect because the exponent should be $\frac{-1}{6}$ and not $-6$. Therefore, the only correct option is C.

Write −x+y6- \sqrt [ 6 ] { x + y }−6x+y​

Write $- \sqrt [ 6 ] { x + y }$