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dem82 [27]
3 years ago
13

Please answer correctly while showing detailed working ​

Mathematics
1 answer:
JulijaS [17]3 years ago
3 0

Answer:

n=-4

Step-by-step explanation:

( \frac{5}{3} ) {}^{2n + 1}  \times ( \frac{5}{3} ) {}^{5}  = ( \frac{5}{3} ) {}^{n + 2}

Apply Product of Power Rule

( \frac{5}{3} ) {}^{2n + 6 }  = ( \frac{5}{3} ) {}^{n + 2}

Set the exponents equal to each other

2n + 6 = n + 2

n + 6 = 2

n =  - 4

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