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  • 21-09-2021
  • Mathematics
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Please answer correctly while showing detailed working ​

Please answer correctly while showing detailed working class=

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Аноним Аноним
  • 21-09-2021

Answer:

n=-4

Step-by-step explanation:

[tex]( \frac{5}{3} ) {}^{2n + 1} \times ( \frac{5}{3} ) {}^{5} = ( \frac{5}{3} ) {}^{n + 2} [/tex]

Apply Product of Power Rule

[tex]( \frac{5}{3} ) {}^{2n + 6 } = ( \frac{5}{3} ) {}^{n + 2} [/tex]

Set the exponents equal to each other

[tex]2n + 6 = n + 2[/tex]

[tex]n + 6 = 2[/tex]

[tex]n = - 4[/tex]

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