Question

find the value of m for which

9^m÷3^-2=9^4

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Answer 1

Answer:

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Answer 2

Answer:

m= 3

Step-by-step explanation:

9^m÷3^-2 = 9^4

= (3^2)^m ÷ 3^-2 = (3^2)^4

= 3^2m ÷ 3^-2 = 3^8 [(a^m)^n = a^mn]

= 3^2m = 3^8 × 3^-2

= 3^2m = 3^(8-2) [a^m×a^n = a^m+n]

= 3^2m = 3^6

= 2m = 6

= m = 3

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