help plz I've been stuck

Answer:
The answer is D. [tex](\frac{1}{5} )^{2}[/tex]
Step-by-step explanation:
[tex]5^{4} *(5^{-3} )^{2}[/tex]
simplify the expression by multiplying
[tex]5^{4} *5^{-6}[/tex]
calculate the product
[tex]5^{-2}[/tex]
express with a positive exponent using [tex]a^{-n} =\frac{1}{a^{n} }[/tex]
[tex]\frac{1}{5^{2} }[/tex]
[tex]{5}^4 * {(5^{-3} )}^2[/tex]
[tex]5^{4} * 5^{-6} = 5^{-2}[/tex]
[tex]5^{-2} = \frac{1}{5^{2} } = {(\frac{1}{5})}^2[/tex]
Alternative D)
See exponent/power properties for help.