nashathfazza257 nashathfazza257

03-10-2020
Mathematics

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Find the value of m

([tex]\frac{2}{9}^ {4}[/tex]×[tex]\frac{2}{9}^{-7}[/tex]=[tex]\frac{2}{9}^{2m+1}[/tex]

Respuesta :

oscar236 oscar236

03-10-2020

Answer:

-2.

Step-by-step explanation:

(2/9)^4 * (2/9)^-7 = (2/9)^-3 so

(2/9)^-3 = (2/9)^(2m+1)

So -3 = 2m + 1 ( as the base 2/9 is common to both sides of the equation)

2m = -4

m = -2.

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