DaveTheWarrior
DaveTheWarrior DaveTheWarrior
  • 03-05-2020
  • Mathematics
contestada

Find the value of ' m ' if
(2/5)⁻⁵×(2/3)¹²=(2/3)³ˣ⁻²
plsssssssssssssssss help me!!!!!!!!!!

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Darasimi
Darasimi Darasimi
  • 04-05-2020

Answer:

[tex] {( \frac{2}{3} )}^{ - 5} \times {( \frac{2}{3} )}^{ 12} = {( \frac{2}{3} )}^{ 3x - 2} \\ {( \frac{2}{3} )}^{ - 5 + 12} = {( \frac{2}{3} )}^{ 3x - 2} \\ - 5 + 12 = 3x - 2 \\ 7 = 3x - 2 \\ 3x = 7 + 2 \\ 3x = 9 \\ x = \frac{9}{3} \\ x = 3[/tex]

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