Question

Which expressions are equivalent to this exponential expression?.

Answer 1

The expression is equivalent to $5^2$.

Given

Expression; $\rm \dfrac{(5^2)^{-3}\times 5^4}{5^{-4}}$

Exponential expression;

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;

$\rm =\dfrac{(5^2)^{-3}\times 5^4}{5^{-4}}\\\\=\rm \dfrac{(5)^{-6}\times 5^4}{5^{-4}}\\\\=\rm \dfrac{(5)^{-6+4}}{5^{-4}}\\\\=\rm \dfrac{5^{-2}}{5^{-4}}\\\\=5^{-2+4}\\\\=5^2$

Hence, the expression is equivalent to $5^2$.

To know more about expression click the link given below.

brainly.com/question/11865504