Respuesta :

Answer:

2500

Step-by-step explanation:

Using exponent rule [tex]a^b \cdot a^c=a^{b+c}[/tex]

[tex]\implies 5^{x+2}=5^x \cdot 5^2=25 \cdot 5^x[/tex]

If [tex]5^x=100[/tex] then:

[tex]\implies 25 \cdot 5^x=25 \cdot 100=2500[/tex]

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