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Simplify the expression using the order of operations.

[tex]\[
\begin{aligned}
4^3 \div 8 + 9 & = \square \div 8 + 9 \\
& = \square + 9 \\
& = \square
\end{aligned}
\][/tex]

Sagot :

GinnyAnsweridn
Certainly! Let's break down the expression step by step according to the order of operations (also known as PEMDAS/BODMAS, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)):

1. Calculate the exponentiation:
[tex]\[ 4^3 = 64 \][/tex]
So the expression now looks like:
[tex]\[ 64 \div 8 + 9 \][/tex]

2. Perform the division:
[tex]\[ 64 \div 8 = 8 \][/tex]
Now the expression is:
[tex]\[ 8 + 9 \][/tex]

3. Finally, perform the addition:
[tex]\[ 8 + 9 = 17 \][/tex]

Putting it all together, the simplified expression is:
[tex]\[ 4^3 \div 8 + 9 = 17 \][/tex]
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