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

figue 1 shows a piece of elastic being stretched between 2 pieces of wood
________ is the framework that managers apply to determine the competitive moves and business approaches that run the company
It is believed that ____________________________ succeeded in making the first daguerreotype in america
What is the central message of individualism? multiple choice state-owned entities are more profitable for the common good. individuals rely on government to or
Help me asap! I will give you marks
(y-5)/2=(y+6)/3 solve
A 12 V battery is connected to a resistor, a light bulb, and a buzzer. What are the energy conversions that occur in the circuit?
eyy foo i need spanish help
Anne can make 6 headbands 3/5 from meters of cloth. Which expression shows the amount of cloth needed to make 1 headband? What is the solution to the expression
What is the difference between monism and pluralism? Do you find monism or pluralism to be more likely? Why?