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  • 25-08-2021
  • Mathematics
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prove that 3 power p + 1 - 3 power P upon 2 multiply 3 power p is equal to 1 ​

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jimrgrant1 jimrgrant1
  • 25-08-2021

Answer:

see explanation

Step-by-step explanation:

note that [tex]3^{p+1}[/tex] = [tex]3^{p}[/tex] × 3 ( when multiplying exponents are added )

Given

[tex]\frac{3^{p+1}-3^{p} }{2.3^{p} }[/tex] ← factor out [tex]3^{p}[/tex] on numerator

= [tex]\frac{3^{p}(3-1) }{2.3^{p} }[/tex]

= [tex]\frac{2.3^{p} }{2.3^{p} }[/tex]

= 1

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