Question

Find the value of n when:
(i) 5²ⁿ x 5³ = 5⁹​

Answer 1

Answer:

Hey!!!

(i) 5²ⁿ×5³=5⁹ (given)

=>5²ⁿ=5⁹/5³=5⁶

=>5²ⁿ=5⁶

=> 2n=6 (as bases are same)

=> n=3

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Answer 2

5^2n × 5^3 = 5^9

Same base means add powers

5^(2n + 3) = 5^9

2n+3 = 9

2n = 9-3 = 6

n = 6/2

n = 3

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