Respuesta :

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[tex]16=2^4\\\\32=2^5\\\\\text{Use:}\ (a^n)^m=a^{n\cdot m}\\\\16^{2p}=32^{p+3}\\\\(2^4)^{2p}=(2^5)^{p+3}\\\\2^{4\cdot2p}=2^{5\cdot(p+3)}\\\\2^{8p}=2^{5p+15}[/tex]


[tex]\text{Answer:}\ C.\ 2^{8p}=2^{5p+15}[/tex]

Answer:

C. 2^8p=2^5p+15

Step-by-step explanation: