The expression is equivalent to [tex]5^2[/tex].
Given
Expression; [tex]\rm \dfrac{(5^2)^{-3}\times 5^4}{5^{-4}}[/tex]
The definition of exponential form is a way of writing a number that is multiplied by itself more than once.
To solve the exponential equation follow all the steps given below.
Therefore,
The expression is equivalent to;
[tex]\rm =\dfrac{(5^2)^{-3}\times 5^4}{5^{-4}}\\\\=\rm \dfrac{(5)^{-6}\times 5^4}{5^{-4}}\\\\=\rm \dfrac{(5)^{-6+4}}{5^{-4}}\\\\=\rm \dfrac{5^{-2}}{5^{-4}}\\\\=5^{-2+4}\\\\=5^2[/tex]
Hence, the expression is equivalent to [tex]5^2[/tex].
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https://brainly.com/question/11865504
