Simplify $\left(5^{-2}\right)^4$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $-2$ and $n$ equals $4$

Applicare la formula: $ab$$=ab$, dove $ab=-2\cdot 4$, $a=-2$ e $b=4$

Applicare la formula: $a\frac{b}{c}$$=\frac{ba}{c}$, dove $a=5^7$, $b=5^{-8}$ e $c=5^2$

Applicare la formula: $a^b$$=a^b$, dove $a=5$, $b=2$ e $a^b=5^2$

Applicare la formula: $\frac{ab}{c}$$=\frac{a}{c}b$, dove $ab=781255^{-8}$, $a=78125$, $b=5^{-8}$, $c=25$ e $ab/c=\frac{781255^{-8}}{25}$