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Elina [12.6K]
3 years ago
14

Simplify i^38 ????????

Mathematics
1 answer:
stich3 [128]3 years ago
4 0

Answer:

i is defined as the square root of -1.

i^2 = -1

i^3 = -i

i^4 = 1

Following the pattern, we see that i^40 = 1, so i^38 is two above, or equal to -1.

So, i^38 = -1.

Let me know if this helps!

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Can somebody plz help answer both the word problem question and number 24. (I can’t find the right answers) :(
vagabundo [1.1K]

Answer:

23:600

24

a12

b27

c36

d45

Step-by-step explanation:

7 0
3 years ago
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PLEASE HELP: Simplify the expression. Write your answer as a power. 5^2⋅5^9/5
antoniya [11.8K]

Answer:

9.765625×10^6

Step-by-step explanation:

Simplify the following:

5^2×5^9/5

Hint: | Express 5^2×5^9/5 as a single fraction.

5^2×5^9/5 = (5^2×5^9)/5:

(5^2×5^9)/5

Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to (5^2×5^9)/5.

Combine powers. (5^2×5^9)/5 = 5^(9 + 2 - 1):

5^(9 + 2 - 1)

Hint: | Evaluate 9 + 2.

9 + 2 = 11:

5^(11 - 1)

Hint: | Subtract 1 from 11.

| 1 | 1

- | | 1

| 1 | 0:

5^10

Hint: | Compute 5^10 by repeated squaring. For example a^7 = a a^6 = a (a^3)^2 = a (a a^2)^2.

5^10 = (5^5)^2 = (5×5^4)^2 = (5 (5^2)^2)^2:

(5 (5^2)^2)^2

Hint: | Evaluate 5^2.

5^2 = 25:

(5×25^2)^2

Hint: | Evaluate 25^2.

| 2 | 5

× | 2 | 5

1 | 2 | 5

5 | 0 | 0

6 | 2 | 5:

(5×625)^2

Hint: | Multiply 5 and 625 together.

5×625 = 3125:

3125^2

Hint: | Evaluate 3125^2.

| | | 3 | 1 | 2 | 5

× | | | 3 | 1 | 2 | 5

| | 1 | 5 | 6 | 2 | 5

| | 6 | 2 | 5 | 0 | 0

| 3 | 1 | 2 | 5 | 0 | 0

9 | 3 | 7 | 5 | 0 | 0 | 0

9 | 7 | 6 | 5 | 6 | 2 | 5:

Answer: | 9765625 = 9.765625×10^6

7 0
2 years ago
Please help me <br>i really want to know the answer<br>and the explanation for this problems​
puteri [66]

Answer:

M = 4.33885225095

Step-by-step explanation:

Area of the square ABFE = 10² = 100

M = 100 - (2P + Q)

Let’s calculate 2P + Q :

The area 2P + Q = area ΔABC + area of sector ACE + area of sector BCF

Note :

ΔABC is an equilateral triangle

m∠CBF = m∠CAE = 30°

area ΔABC  = (CG × AB)÷2 = (8.660254037844×10)÷2 = 43.30127018922

CG = √(10^2 - 5^2)=8.660254037844  (Pythagorean theorem)

area of sector BCF = area ΔACE = 100π ÷ 12 = (8.333333333333)π

then

Area 2P + Q = area  ΔABC + area sector ACE + area sector BCF

                      = 43.30127018922+(100÷12)π+(100÷12)π

                      = 43.30127018922+ (8.333333333333)π + (8.333333333333)π

                      = 95.66114774905

Conclusion:

M = 100 - (2P + Q) = 100-95.66114774905 = 4.33885225095

8 0
3 years ago
Which property explains why these two expression's are equal?<br> 5(g+h)=5g+5h
user100 [1]

Answer:

c

Step-by-step explanation:associative: a+(b+c)=(a+b)+c

commutative: a+b=b+a

distributive: a(b+c)=ab+ac

inverse: I think it is a times 1/a=1, doesn't matter

4 0
3 years ago
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PROMPT: Write about Pythagorean Theorem; what is the
algol [13]

Answer:

Step-by-step explanation:

Pythagorean Theorem formula is

a^2 + b^2 = c^2

4 0
3 years ago
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