Determine the total number of distinct prime factors in the expression: ( 216 3 5 × 2500 2 5 × 300 1 5 ) 5 \left(216^{\frac{3}{5}} \times 2500^{\frac{...

Question

Determine the total number of distinct prime factors in the expression:

(21635×250025×30015)5\left(216^{\frac{3}{5}} \times 2500^{\frac{2}{5}} \times 300^{\frac{1}{5}}\right)^5

Options

A.

7

B.

3

C.

8

D.

None of these

prime factorizationexponentsnumber theory

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