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Let’s check out your problem:
Find the values using the order of operations.
\newline
40
÷
2
−
2
×
7
−
(
30
−
26
)
×
(
−
9
)
2
=
40 \div 2-2 \times 7-(30-26) \times(-9)^{2}=
40
÷
2
−
2
×
7
−
(
30
−
26
)
×
(
−
9
)
2
=
View step-by-step help
Home
Math Problems
Precalculus
Change of base formula
Full solution
Q.
Find the values using the order of operations.
\newline
40
÷
2
−
2
×
7
−
(
30
−
26
)
×
(
−
9
)
2
=
40 \div 2-2 \times 7-(30-26) \times(-9)^{2}=
40
÷
2
−
2
×
7
−
(
30
−
26
)
×
(
−
9
)
2
=
Calculate Exponent:
First, calculate the exponent
(
−
9
)
2
(-9)^{2}
(
−
9
)
2
.
$
(
−
9
)
2
=
81
\$(-9)^{2} = 81
$
(
−
9
)
2
=
81
)
Perform Subtraction:
Next, do the operations inside the parentheses
(
30
−
26
)
(30-26)
(
30
−
26
)
.
\newline
30
−
26
=
4
30-26 = 4
30
−
26
=
4
Multiply Results:
Now, multiply the result of the parentheses by the exponent result.
4
×
81
=
324
4\times81 = 324
4
×
81
=
324
Do Multiplication:
Then, do the multiplication
2
×
7
2\times7
2
×
7
.
2
×
7
=
14
2\times7 = 14
2
×
7
=
14
Divide Numbers:
Now, divide
40
40
40
by
2
2
2
.
\newline
40
÷
2
=
20
40\div2 = 20
40
÷
2
=
20
Subtract Results:
Subtract the multiplication result from the division result.
20
−
14
=
6
20-14 = 6
20
−
14
=
6
Final Subtraction:
Finally, subtract the result of the multiplication of the parentheses and the exponent from the previous result.
\newline
6
−
(
324
)
=
−
318
6-(324) = -318
6
−
(
324
)
=
−
318
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\newline
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