CoolguyMj CoolguyMj
  • 10-09-2021
  • Mathematics
contestada

Simplify (2m^6)^3.

A. 2m^9
B. 8m^18
C. this can not be simplified further.
D. 8m^9

Respuesta :

prissyphiri
prissyphiri prissyphiri
  • 10-09-2021

Answer:

B. 8m ^ 18

Step-by-step explanation:

(2m ^6)^3 is the same as ;

(2 ^1 × m ^ 6) ^ 3.....multiply the powers 1 and 6 by 3

2 ^ (1×3) × m ^ (6×3).....this equals;

2 ^ 3 × m ^ 18

8m^18

hope this helps :)

Answer Link
msm555
msm555 msm555
  • 10-09-2021

B. 8m^18

Answer:

Solution given:

[tex](2m^6)^3[/tex]

since cube is of all

distribute it

like

[tex]2³(m^6)^3[/tex]

we have

2³=8

and

power is multiplied to its power

so

[tex]m^{6*3}[/tex]

[tex]m^{18}[/tex]

and

we finally get

[tex]\bold{8m^{18}}[/tex]

Answer Link

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