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# How do you simplify 6^3 - 3 times (3^2 times 2) + 5 using order of operations?

Nov 14, 2015

We can use the BODMAS rule to solve this.

$167$

#### Explanation:

The order of operations is given by the BODMAS rule. B=Brackets; O=Of; D=Division; M=Multiplication; A=Addition; S=Subtraction. B i.e. brackets have highest priority and the priority decreases till S i.e. subtraction.

${6}^{3} - 3 \cdot \left({3}^{2} \cdot 2\right) + 5$

= 6*6*6-3*(9*2)+5)

= $216 - 3 \cdot \left(18\right) + 5$

= $216 - 54 + 5$

= $216 + 5 - 54$

= $221 - 54$

= $167$

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