The correct simplifications of powers of i are:
a. i^27=−i
d. i^8=1
e. i^5=i
Step-by-step explanation:
We know that

We can use the smaller powers of i to solve the larger powers.
a. i^27=−i

b. i^28=i

c. i^14=1

d. i^8=1

e. i^5=i

Hence,
The correct simplifications of powers of i are:
a. i^27=−i
d. i^8=1
e. i^5=i
Keywords: Imaginary units, Iota
Learn more about imaginary units at:
#LearnwithBrainly
Sphere volume = (4/3) PI * radius ^ 3
sphere volume = (4/3) PI * 5 ^ 3
sphere volume = (4/3) PI * 125
<span><span><span>sphere volume = 523.5987755983
</span>
</span>
</span>
<span>sphere volume = 523.6 (rounded)
</span>
X is equal to 7. Since you are trying to make them equal to each other, the denominator is already the same, so you just need to make the numerator the same too.
Answer:
C. $70.00
Step-by-step explanation:
First convert the discount rate of 60% into a decimal (0.6)
Remember that the original price(x) times the discount rate(0.6) is the sale price(42).
0.6x=42
divide both sides by 0.6 to get
x=70
The original price was $70.00