ketarajackson38 ketarajackson38

06-06-2018
Mathematics

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Which equation is equivalent to 16^2p=32^p+3
A. 8^4p=8^4p+3
B. 8^4p=8^4p+12
C. 2^8p=2^5p+15
D. 2^8p=2^5p+3

Respuesta :

16-06-2018

[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]

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Nekoyuridia Nekoyuridia

02-12-2020

Answer:

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

Step-by-step explanation:

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