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

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

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SouthernRider
SouthernRider SouthernRider
  • 07-11-2019

Answer:

[tex]64c^{6}[/tex]

Step-by-step explanation:

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

Given [tex](4c^{2})^{3}[/tex]

Here a=4 and b=[tex]c^{2}[/tex]

Using the above property we get

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

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

using the above property we get

[tex](4c^{2})^{3}[/tex] =[tex]64*c^{6}[/tex]=[tex]64c^{6}[/tex]

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