Question

(3/5)^2 * (9/25)^-3 = (3/5)^2n. find the value of n​

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Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

n= -2

Step-by-step explanation:

(3/5)^2 * (9/25)^-3 = (3/5)^2n

(3/5)^2 = 3²/5²

9=3², 25=5² therefore, (9/25)^-3 = (3²/5²)^-3 = (3^-6/5^-6)

3²/5² * 3^-6/5^-6 = (3/5)^2n

3^-4/5^-4 = (3/5)^2n

(3/5)^-4 = (3/5)^2n

since bases are same their exponent will be equal

-4=2n

n= -2

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