Question

Find the value of m if (2/9) power is 3* (2/9) power is minus 6= (2/9) power is 2m - 1 ​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

(2/9)³×(2/9)-⁶ = (2/9)^2m - 1

since the bases are same

so using (a)^m × a^n = a^m+n law of exponents

and equating powers

3 + (-6) = 2m - 1

3 - 6 = 2m - 1

-3 = 2m - 1

-3 + 1 = 2m

-2 = 2m

m = -1