Power is the product of multiplying a number by itself or an expression that reflects the repeated multiplication of the value of integers. Powers are sometimes referred to as exponents or indices. **i** is the imaginary unit or exponential power that is known as** iota**. In this article, let us learn certain things about powers like what is i to the power of 3, how do i write to the power of 3, and what is i to the power of 4 equal to. Brace yourselves because this is going to be interesting.

Table of Contents

**1. What is the Value of i?**

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In mathematics, the set of integers known as complex numbers is composed of real and imaginary components. The imaginary component is specified with the help of the letter** i** referred to as iota and its value, which is the root of** minus 1 (-1) **that is **i = √−1. **In the next point, we will tell you what are the powers of i in maths. (Must read what is the very last number in the world?)

**2. What are the Powers of i in Math?**

Cyclic repetitions in the i’s powers are always equivalent to the four numbers. Here i is the imaginary unit or exponential power that is always equal to one of the four given numbers: **1, -1, i, -i. **Any nonzero number with exponent zero is equivalent to 1, so its 0th power is 1 as well. And −**i² = 1,** is the major relation of iota. (See what are some examples of categorical variables?)

**3. How do you find the Power of i?**

i is the imaginary unit number also known as iota.

The definition of the imaginary unit i is the square root of minus 1 (i = √-1).

Therefore,

- (i²) = −1,
- Or, (i²) (i²) = 1
- Or, (i³) i = 1,
- Or, i³ = −i. Must read What is 0.12 Repeating as a Fraction?

**4. How do you Write 2 to the Power of 3?**

When 2 is **raised to **the third power is equal to 8, 2 to the power three can be written as **2 × 2× 2.**

**Or, 2³= 8**

Because 2 is multiplied by itself 3 times is also called the **cube** of two and is equivalent to 8. in this next segment, we will tell you how to write i to the power of 3. (See When Were Numbers invented?)

**5. What is i to the Power of 3?**

After learning how do you write to the power of 3, it is time to find i to the power of 3. The value of **i** to the power of 3 is equal to **minus i** **(−i)** because iota which is **i** the square root of the negative one **i = √−1** when multiplied thrice will give,

(√−1) × (√−1) × (√−1) = i² (i) = (− 1) i

**Or, i³= − i. **Must see What is 20% of 70?

**6. What is the Power of 3 Called?**

In the number series, 3 is a whole number, and the power of 3 in exponents and powers is known as a** cube**. Check out why is mathematical concept important?

**7. What is i to the Power of 4 Equal to?**

The value of i to the power of 4 is equal to 1 because the number iota is the square root of negative 1**.**

i = √−1

Its 4th power is, (√−1) × (√−1) × (√−1) × (√−1) = i² × i² = **1**

Therefore, any exponent of i that is a multiple of 4 will be equal to** 1. **(See What Graph is Useful for Showing Changes in a Variable?)

**8. What is 1 as a power of 3?**

One as the power of 3 means multiplying 1 three times, 1 × 1 × 1, equals 1.

Hence its power of 3 is equal to 1 as **1³ = 1.**

**9. What is 1 as a power of 2?**

One as the power of two can be expressed as 1² as the power 2 is called a square so 1 × 1 = 1

Hence 1² = **1. **(See What is Three Eighths as a Decimal?)

**10. What is 2 the Power of 3?**

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2 to the power 3 is **equal to 8.**

2 to the third power can be written as 2³ = 2 × 2 × 2 = 8 (Also read How can You change 0.33 to a Fraction Accurately?)