After applying the principle of the integer exponent to the above statement, the simplified version of the expression is (7/3)2(2/3)3, which indicates that choice (A), which is seven-thirds squared times two-thirds cubed, is the right answer.
<h3>What exactly is an integer's exponent used for?</h3>
In mathematics, exponents that are intended to be integers are referred to as integer exponents. It's possible that the number will be positive or negative. In this scenario, the number of times that the base number should be multiplied by itself is decided by the positive integer exponents.
It should be obvious that:
The numerical expression is as follows:
The definition of an integer exponent tells us, and we already know this from our own experience, that the positive integer exponents dictate the number of times the base number should be multiplied by itself.
![=\left[\left(\frac{3}{7}\right)^2\left(\frac{2}{3}\right)^{-3}\right]^{-1}](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cleft%28%5Cfrac%7B3%7D%7B7%7D%5Cright%29%5E2%5Cleft%28%5Cfrac%7B2%7D%7B3%7D%5Cright%29%5E%7B-3%7D%5Cright%5D%5E%7B-1%7D)
Utilizing the features of the integer exponent:

= (7/3)²(2/3)
After using the principle of the integer exponent, the above equation may be simplified into the form (7/3)2(2/3)3, which indicates that option (A), which is seven-thirds squared times two-thirds cubed, is the appropriate choice.
Discover more about the integer exponent by reading the following:
brainly.com/question/4533599
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