acmlacie acmlacie
  • 11-04-2019
  • Mathematics
contestada

what expression is equivalent to (x^4/3x^2/3)^1/3?

Respuesta :

gmany
gmany gmany
  • 15-04-2019

Answer:

[tex]\large\boxed{x^\frac{4}{3}}[/tex]

Step-by-step explanation:

[tex]\left(x^\frac{4}{3}x^\frac{2}{3}\right)^\frac{1}{3}\qquad\text{use}\ a^na^m=a^{n+m}\\\\=\left(x^{\frac{4}{3}+\frac{2}{3}}\right)^\frac{1}{3}=\left(x^\frac{6}{3}\right)^\frac{1}{3}=(x^2)^\frac{1}{3}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=x^{(2)\left(\frac{2}{3}\right)}=x^{\frac{4}{3}}[/tex]

Answer Link

Otras preguntas

There are chickens and pigs in a farm yard? There are 68 feet and 23 tails in the farm yard. How many chickens and how many pigs does grandma have?
what is the capital of the island nation off the southeast coast of India
Give examples of how environmental condition affected three early culture North America.
The angular speed of a propeller on a wind generator is 10.3 revolutions per minute. Express this angular speed in radians per minute.
What is the integer for 3 people join?
Why did the colonists call the acts intolerable
Find the unit rate in feet per second 300 yards over 1 minute
Find two consecutive positive odd integers whose product is 35??
A toy company produces two kites whose shapes are geometrically similar. Find the length of the missing side of the smaller kite
How do the daughter cells compare to the parent cells ?