How do you simplify #[6\cdot 5^ { 3} - 5] + 6#?

1 Answer
Nov 16, 2016

#[6\times5^3-5]+6=\color(mediumaquamarine)(751)#

Explanation:

#[6\times5^3-5]+6#

  • split up the #\color(indianred)(5^3)#:
    #[6\times\color(indianred)((5\times5\times5))-5]+6#
  • multiply to get #\color(crimson)(25\times5)#... which gets you:
    #[6\times\color(crimson)(125)-5]+6#
  • multiply #\color(sienna)(6\times125)#:
    #[\color(sienna)(750)-5]+6#
  • subtract the part inside the #\color(olive)(brackets)#:
    #[\color(olive)(745)]+6#
  • so now you have #745+6=\color(mediumaquamarine)(751)#