Question

EEvaluate please question in pic​​

Answer 1

Answer:

Option D is correct.

Step-by-step explanation:

$\frac{\sqrt[3]{5}\sqrt{5}}{\sqrt[3]{5^5} }$

We need to solve this equation.

We know that √ is equal to 1/2 and ∛ is equal to 1/3 so solving the question:

$=\frac{5^{1/3}X5^{1/2}}{5^{5/3}}$

We can add powers if the bases are same and numbers are multiplied.

$=\frac{5^{1/3 +1/2}}{5^{5/3}}\\=\frac{5^{5/6}}{5^{5/3}}$

We can subtract powers if the bases are same and numbers are divided.

$=5^{5/6-5/3}\\=5^{-5/6}$

So, Option D is correct.