Question

The expression below will be simplified according to the correct order of operations.
9 left parenthesis 4 divided by 2 right parenthesis squared plus 1 minus 8
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Part 1
Which expression results after the first step of​ simplifying?
A.9 left parenthesis 4 divided by 2 right parenthesis squared plus 7
9 left parenthesis 4 divided by 2 right parenthesis squared plus 7
B.left parenthesis 36 divided by 18 right parenthesis squared plus 1 minus 8
left parenthesis 36 divided by 18 right parenthesis squared plus 1 minus 8
C.9 left parenthesis 8 divided by 4 right parenthesis plus 1 minus 8
9 left parenthesis 8 divided by 4 right parenthesis plus 1 minus 8
D.9 left parenthesis 2 right parenthesis squared plus 1 minus 8
9 left parenthesis 2 right parenthesis squared plus 1 minus 8

Answer 1

To simplify the expression \( 9 \left(4 \div 2\right)^2 + 1 - 8 \), we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).

1. **Calculate \( 4 \div 2 \)** within the parentheses:
\[
4 \div 2 = 2
\]
Therefore, our expression becomes:
\[
9 \left(2\right)^2 + 1 - 8
\]

2. **Next, evaluate the exponent \( \left(2\right)^2 \)**:
\[
\left(2\right)^2 = 4
\]
Updating the expression gives us:
\[
9 \cdot 4 + 1 - 8
\]

Now, looking at the options provided:

A. \( 9 \left(4 \div 2\right)^2 + 7 \)

B. \( \left(36 \div 18\right)^2 + 1 - 8 \)

C. \( 9 \left(8 \div 4\right) + 1 - 8 \)

D. \( 9 \left(2\right)^2 + 1 - 8 \)

From our calculations, after the first step \( 9 \left(2\right)^2 + 1 - 8 \) is the result which corresponds to option **D**.

So the correct answer is:

**D. \( 9 \left(2\right)^2 + 1 - 8 \)**.