Answer:




![(2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1 = -18](https://tex.z-dn.net/?f=%282%20%2A%20%5Csqrt%7B16%7D%29%20-%20%28%5Csqrt%5B3%5D%7B27%7D%20%2A%20%5Csqrt%7B81%7D%29%20%2B%201%20%3D%20-18)
Step-by-step explanation:
<em>Required: Solve the expressions using proper operation order</em>
To solve this, we'll make use of BODMAS
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Evaluate all squares and square roots


Evaluate the numerator (Start by multiplying 3 * 3)

Subtract 9 from 41

Evaluate the denominator (Start by multiplying 6 * 3)


Divide 32 by -8
-4
Hence;

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Start by evaluating the bracket

Then evaluate the multiplication

Simplify the square root

Split the square root

Take Square root of 4


Hence;

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Evaluate 7²

Evaluate all expression in the bracket


Evaluate 3 * 5



Hence;

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Evaluate 7²

Evaluate 5 * 8



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![(2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1](https://tex.z-dn.net/?f=%282%20%2A%20%5Csqrt%7B16%7D%29%20-%20%28%5Csqrt%5B3%5D%7B27%7D%20%2A%20%5Csqrt%7B81%7D%29%20%2B%201)
Evaluate all square root and cube root

Solve the expressions in bracket


Hence;
![(2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1 = -18](https://tex.z-dn.net/?f=%282%20%2A%20%5Csqrt%7B16%7D%29%20-%20%28%5Csqrt%5B3%5D%7B27%7D%20%2A%20%5Csqrt%7B81%7D%29%20%2B%201%20%3D%20-18)