Respuesta :

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]

ThiaudioTT

[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.

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