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

What is x in this problem ?
How did the fact that early European invaders of the Americas were most white males influence the way they interacted with Native?
which theorist is credited with proposing the psychosexual stages of development?
If you are good with limits in calculus can you help me solve this problem please :
[2(5 – 4) + 6(7 – 3)] ÷ 2
which kind of change alters the shape of an object without changing what type of matter it isITS RIELLY SCIENCE
11 + 4n - 2n + 12 HELPPPPPPPPPPPPPPP
Example 6 Solve for w: w + 2 > 4.
Are we 100% sure that this is true? – Seems like every 4 years there is a new story How did the moon just move away?? How does acid rain start? Where did the ro
how do mass and distance affect the force of gravity?