EEvaluate please question in pic

Question

asked Aug 6, 2020 134k views

1 Answer

Fenomenoxp · Answer 1 · 2020-08-12T21:59:16+0000

Answer:

Option D is correct.

Explanation:

$\frac{\sqrt[3]{5}√(5)}{\sqrt[3]{5^5} }$

We need to solve this equation.

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

=(5^(1/3)X5^(1/2))/(5^(5/3))

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

$=(5^(1/3 +1/2))/(5^(5/3))\\=(5^(5/6))/(5^(5/3))\\$

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.