Mutiply then Simplify.
(1)
(2)
(3)

To solve the given expressions, let’s tackle them one by one:

(1) Calculation:

To simplify , we find and .
So, .
Simplifying this gives us ( = \sqrt[3]{2^9 \cdot 3^6 \cdot 5^4a} = 2^{3} \cdot 3^{2} \cdot 5^{\frac{4}{3}} \sqrt[3]{a} = 8 \cdot 9 \cdot 5^{\frac{4}{3}} \sqrt[3]{a} = 72 \cdot 5^{\frac{4}{3}} \sqrt[3]{a} = 72 \cdot 5^{1} \cdot \sqrt[3]{5} \cdot \sqrt[3]{a} = 360 \cdot \sqrt[3]{5a}.
]

(2) Calculation:

Here we simplify , thus this equals: ( = \sqrt{(5 \cdot 2) (3³⁾⁽⁷2)} = \sqrt{10 \cdot 27 \cdot 49} = \sqrt{10} \cdot 21 = 21\sqrt{10}.
]

(3) Calculation:

For and . The total becomes: . Converting to a common denominator, we get the answer of

(4) For the expression , we can use the difference of squares formula:

Combining all final results: