Question

Please help!!! Thanks in advance!!!

Evaluate 3radiacal sign 5 radical sign 5 over 3radical sign 5^5

A) 5^-1/6
B) 5^3/2
C) 5^5/2
D) 5^-5/6

Answer 1

`\frac{\sqrt[3]{5} \cdot √(5) }{ \sqrt[3]{5^5} } = \frac{5^{(1)/(3)} \cdot 5^{(1)/(2)}}{5^{(5)/(3)}} = \frac{5^{(1)/(3) + (1)/(2)}}{5^{(5)/(3)}} = \frac{5^(5)/(6)}{5^{(5)/(3)}} = 5^{(5)/(6) - (5)/(3)} = 5^{(5)/(6) - (10)/(6)} = \boxed{\bf{5^{-(5)/(6)}}}`


Your answer is D