The value of the given expression is 4,096/729. Therefore, option A is the correct answer.
The given expression is ((-4/3)²)³.
We need to evaluate the given expression.
The exponent of a number shows how many times the number is multiplied by itself.
Now, ((-4/3)²)³=((-4/3)×(-4/3))³
=(16/9)³
=(16/9)×(16/9)×(16/9)
=(16×16×16)/(9×9×9)
=4,096/729
The value of the given expression is 4,096/729. Therefore, option A is the correct answer.
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