mbathon9
mbathon9 mbathon9
  • 04-10-2018
  • Mathematics
contestada

Find the value of x (1/3)^2•(1/3)^x=1/729

Respuesta :

gmany
gmany gmany
  • 04-10-2018

[tex]\left(\dfrac{1}{3}\right)^2\cdot\left(\dfrac{1}{3}\right)^x=\dfrac{1}{729}\\\\\left(\dfrac{1}{3}\right)^{2+x}=\left(\dfrac{1}{3}\right)^6\iff2+x=6\ \ \ \ |-2\\\\\boxed{x=4}\\\\\text{used:}\\\\a^n\cdot a^m=a^{n+m}[/tex]

Answer Link

Otras preguntas

which type of stress develops out of boredom and a daily lack of motivation
whats the united states current presidents name?
which situational archetype consists of two lovers who go through many trials but find a way to be together in the end?
What is the term for movement in particular direction
solve the compound inequality 8x>or=-64 and 10x<60
what is the product of the binomial (x+4)(x+3)
what are the measures taken by counties to takle tropical storms
Why is the value of function : f(x)= 10x + 2 when x=5?
A point is _____. imaginary real
Who was the 21st president of the united states?