Question

Please answer correctly while showing detailed working ​

Answer 1

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

$2n + 6 = n + 2$

$n + 6 = 2$

$n = - 4$