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Answer :

The given expression is

[tex]30s^9\colon5t^4\times6t^2[/tex]

Notice that the second power is a denominator.

[tex]\frac{30s^9\times6t^2}{5t^4}[/tex]

Now, we simplify the numbers and divide the power with a common base.

[tex]\frac{36s^9}{t^2}[/tex]

Therefore, the simplified expression is

[tex]\frac{36s^9}{t^2}[/tex]

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