The expression equivalent to information stated is 2401/ 59049
From the information given, we have:
[tex](7^-^2 * 3^5)^-^2[/tex]
First, we expand the quantities in the bracket
7^-2 = 1/ 7² = 1/ 49
3^5 = 3 × 3 × 3 × 3× 3 = 243
Now, let's substitute the values
[tex]( \frac{1}{49} ) * 243)^-^2[/tex]
Let's take the inverse square of the values
[tex]49^2 * (\frac{1}{243}) ^2[/tex]
Take the square
[tex]2401 * \frac{1}{59049}[/tex]
= 2401/ 59049
Thus, the expression equivalent to information stated is 2401/ 59049
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