Answer:
Calculating (5 x 2) violates the order of operations
Step-by-step explanation:
According to the order of operations, multiplies all have equal priority. Therefore, they must be evaluated left to right, not right to left. Evaluating (5 x 2) first is incorrect, and instead (9 x 5) should be calculated first.
What triangle? Is there one on here?
Answer:
33.) = 4
34.) = 2
35.) = 6
36.) = 6
37.) = 91
38.) = 35
39.) = 4
40.) = 28
41.) = 18
42.) = (-6)
Step-by-step explanation:
<h3>33.)</h3>
(10 + 6) ÷ [(9 – 5) × (5 – 4)²]
(16) ÷ (4) × (1)²
16/4 = 4
Thus, The answer is 4
<h3>
34.)</h3>
(3² × 2) ÷ (5 + 8 – 5 + 1)
(9 × 2) ÷ (9)
18/9 = 2
Thus, The answer is 2
<h3>
35.)</h3>
6² ÷ {2 + 5 – [9 – (6 + 2)]}
6² ÷ [2 + 5 – (9 – 8)]
36 ÷ [2 + 5 – (1)]
36 ÷ 7 – 1
36/6 = 6
Thus, The answer is 6
<h3>
36.)</h3>
(3 × 3 × 2) ÷ (4 – 1)
18/3 = 6
Thus, The answer is 6
<h3>
37.)</h3>
4 × 3 × 10 – 4² – (10 + 3)
120 – 16 – 13
120 – 29 = 91
Thus, The answer is 91
<h3>
38.)</h3>
5 × [(22 – 1) × 2] ÷ (8 + 2 – 4)
5 × [(21) × 2] ÷ (6)
5 × 42 ÷ 6
5 × 7 = 35
Thus, The answer is 35
<h3>
39.)</h3>
-2 × 4 ÷ [2 + (-4) – (-4)] – 4
-8 ÷ (2 – 4 + 4) – 4
-8 ÷ 2 – 4
-8/-2 = 8/2 = 4
Thus, The answer is 4
<h3>
40.)</h3>
-4(-1 + 2) × 4 – 2 + (-1)
-4 × (1) × 4 – 2 – 1
(-4) × (-7) = 28
Thus, The answer is 28
<h3>
41.)</h3>
-3 – (-3 × 3) + 6 × 2
-3 – (-9) + 12
-3 + 9 + 12
6 + 12 = 18
Thus, The answer is 18
<h3>
42.)</h3>
6 – {3² + [3 × (-1)²]}
6 – [9 + (3 × 1)]
6 – (9 + 3)
6 – 12 = -6
Thus, The answer is (-6)
<u>-TheUnknownScientist 72</u>
<h2>
Answer:</h2>
0 - 17i
<h2>
Step-by-step explanation:</h2>
Given expression;
i⁸⁰ + i³⁸ - i17
To express the expression in the form a+bi;
<em>i. Rewrite the expression such that it contains terms in i²</em>
(i²)⁴⁰ + (i²)¹⁹ - i17
<em>ii. Solve the result from (i) above using the identity i² = -1</em>
We know that the square root of -1 is i. i.e

<em>Squaring both sides gives</em>
<em>=> </em>
<em />
=> -1 = i²
Therefore,
i² = -1
<em>Substitute i² = -1 in step (i) above</em>
(-1)⁴⁰ + (-1)¹⁹ - i17
<em>(iii) Solve the result in (ii)</em>
We know that the when a negative number is raised to the power of an even number, the result is a positive number. If it is raised to the power of an odd number, the result is a negative number. Therefore,
(-1)⁴⁰ + (-1)¹⁹ - i17 becomes
1 + (-1) - i17
0 - i17
<em>(iv) Write the result from (iii) in the form a+bi</em>
0 - 17i