Calculate and show work

a) 5[3-8*3^2+4*6-2]

b) [4(8-6)^2 +4](3-2*8)

2^2(2^3+5)

Calculate and show work

a) 5[3-8*3^2+4*6-2]

b) [4(8-6)^2 +4](3-2*8)

2^2(2^3+5)

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Olney, MD

You need to follow the "order of operations", PEMDAS:

P = Parentheses

E = Exponents

M = Multiplications

D = Divisions

A = Additions

S = Subtractions

a) 5[3-8*3^2+4*6-2] (First we need to do all operations in the brackets (parentheses))

= 5[3-8*9+4*6-2] (Exponents 3^{2} = 9)

= 5[3-72+24-2] (Multiplications 8*9 = 72, 4*6=24)

= 5[3-96-2] (No divisions, so next is additions: 72+24=96)

= 5[-95] (Subtractions: 3-96 = -93, -93-2 = -95)

b) Works the same as a) but involves a division. Do the numerator first, then the denominator, then divide the numerator by the denominator last.

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