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

A car initially at rest, accelerates at a constant rate of 4.0 m/s for 6s. How fast will the car be traveling at 6s
The blanco family is deciding between two lawn care services. Evergreen charges a $49 startup fee, plus $29 per month. Great Grass charges a $25 starup fee, plu
__________ is the point of view that makes the reader feel like a close friend or confidant. Limited omniscient First person Objective Omniscient
Which of the following best describes the British position toward Native Americans after the Revolutionary War?
In what way are education, the economy, health care, family, and mass media alike? A. They have all been destroyed by monarchs. B. They are all social instituti
Which sentence is the correctly written compound sentence? a. The Statue of Liberty is located on a small, uninhabited island called Liberty Island. b. Liberty
What was the first manned mission to reach Mars?
Are earthquakes scattered all over the world or do they seem to occur near each other (in groups)?
what has six eyes but cannot see
What is the difference between classical and operant conditioning?