21hendlill
21hendlill 21hendlill
  • 02-11-2019
  • Mathematics
contestada

Simplify the expression where possible. (x^4y^2)^3

Respuesta :

SouthernRider
SouthernRider SouthernRider
  • 07-11-2019

Answer:

[tex]x^{12}*y^6[/tex]

Step-by-step explanation:

We know that [tex](a*b)^{m}=a^{m}*b^{m}[/tex]

Given [tex](x^{4}*y^{4})^{3}[/tex]

here a=[tex]x^{4}[/tex] and b=[tex]y^{4}[/tex]

by using the above principle we get

[tex](x^{4}*y^{4})^{3}[/tex]=[tex](x^{4})^{3}*(y^{2})^{3}[/tex]

We know that [tex](a^{m})^{n}=a^{mn}[/tex]

[tex](x^{4}*y^{4})^{3}[/tex]=[tex]x^{4*3}*y^{2*3}[/tex]=[tex]x^{12}*y^6[/tex]

Answer Link

Otras preguntas

How did Fredrick William increase the strength of Brandenburg-Prussia
What was the Marshall plan
Ida Tarbell is known as being a muckraking journalist for her exposing of abuses in which industry?
The United states national government can be classified as
Which lines in this excerpt from act V of Romeo and Juliet show that Romeo feels guilty about having killed Juliet’s cousin Tybalt? A) Mercutio's kinsman, noble
12% of the mammals at the aquarium are otters. 40% of the otters are male. what percent of the mammals at the aquarium are female otters?
Find the scale factor for each scale. 17.) 6in=10ft_____ 18.) 4cm=2.5mm_____ 19.) 5ft=15yd_____
Is x+y=16 y=3-x consistent inconsistent or equivalent
which ratios are proportional to 6/8 ? A. 3/4 B. 16/18 C. 36/48 D. 42/56 (there are multiple answers)
Please help with this