Write in radical notation: the seventh root of the square of x
A) $\sqrt { x ^ { 7 } }$
B) $\sqrt [ 7 ] { x ^ { 2 } }$
C) $x ^ { 2 / 7 }$
D) $\sqrt [ 7 ] { x }$

Question

Write in radical notation: the seventh root of the square of x 
A) $\sqrt { x ^ { 7 } }$
B) $\sqrt [ 7 ] { x ^ { 2 } }$
C) $x ^ { 2 / 7 }$
D) $\sqrt [ 7 ] { x }$

Quizplus · Accepted Answer

The seventh root can be written as a fractional exponent with a denominator of 7. So, the seventh root of the square of x can be written as:
$$\sqrt [ 7 ] { (x^2) } = (x^2)^{1/7} = x^{2/7}$$
Therefore, the best choice is B.

Write in Radical Notation: the Seventh Root of the Square x7\sqrt { x ^ { 7 } }x7​

Write in Radical Notation: the Seventh Root of the Square $\sqrt { x ^ { 7 } }$