Question

Find the value of n of the Following plss give me right answer.

Answer 1

Answer:

(i) 5^-3 × 5ⁿ = 5⁴

=> 5^[-3+n] = 5⁴

=> -3+n = 4

=> n = 4+3

=> n = 7

(ii) (-7)²ⁿ ÷ (-7)³ = (-7)³

=> (-7)^[2n-3] = 3

=> 2n-3 = 3

=> 2n = 3+3

=> 2n = 6

=> n = 3

(iv) [(1/3)⁴]ⁿ = (1/3)² × (1/3)^18

=> (1/3)⁴ⁿ = (1/3)^[2+18]

=> (1/3)⁴ⁿ = (1/3)^20

=> 4n = 20

=> n = 5