Which of the following is equivalent to a real number? A. (-46)^1/2 B. (-10596)^1/8 C. (-4099)^1/5 D. (-5403)^1/6

Question

asked Jan 22, 2022 63.1k views

1 Answer

Fiona Chen · Answer 1 · 2022-01-26T19:03:43+0000

Answer:

C. (-4099)^1/5

Explanation:

$x^{(1)/(2) } = √(x)$

you can not take roots (real roots) of a negative number if the exponent is

even ... A,B,D have even exponents (in the denominator of the exponent.. in other words the index of the radical is even)...

the only odd index is in "B" (the 5 in the 1/5)