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What operation should be done first to evaluate 10 + (66 - 6^2)?
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Answer :

The exponential inside the parenthesis ( [tex](6^2)[/tex] must be evaluated first

Solution:

Given that we have to find what operation must be done first to evaluate the following expression

[tex]10 + (66 - 6^2)[/tex]

We have to use BODMAS rule , to determine the sequence of operations that must be done first

Bodmas stands for "brackets, orders, division, multiplication, addition, subtraction"

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right.

Therefore, in the given expression,

[tex]10 + (66 - 6^2)[/tex]

As per BODMAS rule, we have to evaluate the terms inside the bracket first

Within the parenthesis, we have a Subtraction and an Exponential.

i.e [tex](66 - 6^2)[/tex]

BODMAS tells us to do the exponential first. ( powers )

Therefore, exponential inside the parenthesis must be done first

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