Question

(3/2)²⁴ =(3/2)⁷ⁿ ×(3/2)³ Find the value of n ?​

Answer 1

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Answer 2

Answer:

n  = 3

Step-by-step explanation:

$\frac{3}{2}^{24} = \frac{3}{2}^{7n} \times \frac{3}{2}^{3}\\\\\frac{3}{2}^{24} = \frac{3}{2}^{7n + 3}$

Since the bases are the same, equate the exponents

$24 = 7n + 3\\\\7n = 24 - 3\\\\7n = 21\\\\n = \frac{21}{7}\\\\n = 3$

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