[(4(3−1)^{3})−2^{3}]−[(5×2)^{2}]

Caelan 2020-12-30 Answered
[(4(31)3)23][(5×2)2]
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Expert Answer

Willie
Answered 2020-12-31 Author has 95 answers

The order of operations is PEMDAS which states that the operations must be evaluated in the order of Parentheses, Exponents, Multiplication and Division in order from left to right, and then Addition and Subtraction in order from left to right.
To simplify [(4(31)3)23][(5×2)2] we must then evaluate the expression 31 and 5×2 first since they are inside of parentheses.
Since 31=2 and 5×2=10, then:
[(4(31)3)23][(5×2)2]=[4(2)3(23)][(10)2]
Next we need to evaluate the exponents. Since 23=82and102=100, then: [4(2)3(23)][(10)2]=[4(8)8]100
The next operation we must evaluate is then the multiplication. Since 4(8)=324(8)=32, then:
[4(8)8]100=(328)100
The remaining operation to evaluate is the subtraction. Subtract 32 and 8 and then subtract 100 from this result:
(328)100=24100=76

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