How do you simplify #(5^2 * 2 - 8) ÷ [3(3^2 - 2)]#?

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Answer 1 · 2018-05-02T04:58:42

#color(blue)(=>2)#

#(5^2 * 2 - 8) / [3 * (3^2 -2)]#

Following the order of operations #color(indigo)("PEMDAS"#

#=> (5^2 * 2 - 8) / [3*3^2 - 3*2], color(red)("Removing bracket"#

#=> (25 * 2 - 8) / [3*9 - 3*2], color(red)("expanding exponent"#

#=>(50 - 8) / (27 - 6), color(red)("multiplying"#

#=> 42 / 21, color(red)("removing braces"#

#=> cancel(42)^color(blue)(2) / cancel 21 = 2#