If `a ,\ b ,\ c` are positive real numbers, then `root(5)(3125\ a^(10)b^5c^(10))` is equal to `(a)\ 5a^2b c^2` (b) `25 a b^2c` `5a^3b c^3` (d) `125\ a^2b c^2`

Explanation

To solve the expression \( \sqrt[5]{3125 \cdot a^{10} \cdot b^5 \cdot c^{10}} \), we will follow these steps:

### Step 1: Rewrite the expression
We start with the expression:
\[ \sqrt[5]{3125 \cdot a^{10} \cdot b^5 \cdot c^{10}} \]

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