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

the second stage of the writing process includes?
PLZ HELP ME WITH THIS
Who was the first person to invent video game?
Renna pushed the button for the elevator to go up, but it would not move. the weight limit for the elevator is 450450450 kilograms, but the current group of pas
What was the most significant american failure in negotiating the peace of paris, 1783, which ended the revolutionary war?
What should be done before resubmitting a claim that has not been paid and why is this important?
True or false during a scientific experiment, the control group is used to directly test or measure the consequences of a variable in the study
Can someone explain to me how to find the standard deviation on this problem???
WILL GIVE BRAINLYST A flower pot is thrown out of a window with a horizontal velocity of 8 m/s. If the window is 1.5 m off the ground, how far from the window d
Find all two-digit numbers with the following property: difference of that number and the number with its reversed digits is 36.