Which of the following is equal to the square root of the cube root of 5 ? (1 point)5 to the power of 1 over 35 to the power of 1 over 65 to the power of 2 over 35 to the power of 3 over 2

Answer: Second Option5 to the power of 1 over 6Step-by-step explanation:The square root of the cubic root of 5 is written as follows[tex]\sqrt[2]{\sqrt[3]{5}}[/tex]Now use the following property of the roots[tex]\sqrt[m]{\sqrt[n]{x}}=\sqrt[m*n]{x}[/tex]In this case [tex]m = 2[/tex] and [tex]n=3[/tex] and [tex]x=5[/tex]So we have that[tex]\sqrt[2]{\sqrt[3]{5}}=\sqrt[2*3]{5}[/tex][tex]\sqrt[2*3]{5}=\sqrt[6]{5}[/tex]Now use the following property[tex]\sqrt[n]{x^h}=x^{\frac{h}{n}[/tex]So we have that:[tex]\sqrt[6]{5}=5^{\frac{1}{6}}[/tex]The answer is the second option5 to the power of 1 over 6