Find the value of the following expression: (38 ⋅ 2−5 ⋅ 90)−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 328 (5 points) write your answer in simplified form. show all of your steps.

The value of the given expression is 4

From the question, the given expression is

This becomes

Then, we get

(NOTE: From one of the laws of indices, )

This becomes

From the laws indices, we have that

and

Therefore

= 4

Hence, the value of the given expression is 4

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