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

Konrad Lorenz found that young birds bond with the first object they see. What type of behavior is this? spatial learning observational learning imprinting
Given the spinner below in which all regions are equal, which of the following point scales would result in a favorable game? 1.) The odd numbered regions will
possible combination of 5 names
at 1:30 in the afternoon an old freight train and a new dart express train pull out of the new garland station going in opposite directions the dart express tra
JKL = QRS What is m angle symbol Q?
a) Jaką długość powinien mieć mieć bok kwadratu , aby pole tego kwadratu było równe polu prostokątu o wymiarach 3cm x 4cm ? Wynik podaj z dokładnością do 1mm.
Were power plants necessary to help people use electricity?
Which of the following is the correct definition for connotation? A.continuing without interruption B.to conclude based on evidence C.not submissive or conf
What are the principal goals that both the master and the indentured servant each seeking in the contract?
Consider the scatter plot. Describe the outliers from the scatter plot.