Answer:
Option D is correct.
Step-by-step explanation:
[tex]\frac{\sqrt[3]{5}\sqrt{5}}{\sqrt[3]{5^5} }[/tex]
We need to solve this equation.
We know that √ is equal to 1/2 and ∛ is equal to 1/3 so solving the question:
[tex]=\frac{5^{1/3}X5^{1/2}}{5^{5/3}}[/tex]
We can add powers if the bases are same and numbers are multiplied.
[tex]=\frac{5^{1/3 +1/2}}{5^{5/3}}\\=\frac{5^{5/6}}{5^{5/3}}\\[/tex]
We can subtract powers if the bases are same and numbers are divided.
[tex]=5^{5/6-5/3}\\=5^{-5/6}[/tex]
So, Option D is correct.
