What does "4 to the power of 9" mean?

4 to the power of 9" (4^9) is a mathematical expression that signifies multiplying the base number, 4, by itself three times. It's equivalent to 4 x 4 x 4, which equals 262144.

How is "4 to the power of 9" calculated?

Calculating 4^9 is done by multiplying 4 by itself three times. So, 4^9 = 4 x 4 x 4, resulting in 262144.

Can I calculate "4 to the power of 9" with negative exponents?

Negative exponents indicate taking the reciprocal of the base raised to the positive exponent. For example, 4^(-9) is equivalent to 1 / (4^9), which is 1/262144.

What is 4 to the Power of 9? Explained Step-by-Step

Understanding exponentiation, or raising a number to a certain power, is a fundamental concept in mathematics. In this guide, we will explore the step-by-step calculation process for the expression "4 to the power of 9." We'll break down the concept, explain the calculation method, and discuss the significance of this mathematical operation.

Before we dive into the specific calculation, let's clarify what it means to raise a number to a power. In mathematics, the expression "a to the power of b" (written as a^b) means multiplying 'a' by itself 'b' times. So, "4 to the power of 9" (4^9) signifies multiplying 9 by itself three times.

Calculating 4^9 is straightforward. Follow these steps:

Start with 4 to the power of 9.
Multiply 1 by 4 to get 4.
Multiply 4 by 4 to get 16.
Multiply 16 by 4 to get 64.
Multiply 64 by 4 to get 256.
Multiply 256 by 4 to get 1024.
Multiply 1024 by 4 to get 4096.
Multiply 4096 by 4 to get 16384.
Multiply 16384 by 4 to get 65536.
Multiply 65536 by 4 to get 262144.
The final result is 262144.

Understanding exponentiation is not just a theoretical exercise; it has practical applications in various fields:
In science and engineering, exponentiation is used to represent quantities like distances, areas, and volumes.
In computer science, it's crucial for understanding data storage capacities and memory sizes.
In finance, it plays a role in compound interest calculations and investment growth projections.
In everyday life, it's applicable when dealing with measurements and large quantities

What does "4 to the power of 9" mean?
4 to the power of 9" (4^9) is a mathematical expression that signifies multiplying the base number, 4, by itself three times. It's equivalent to 4 x 4 x 4, which equals 262144.
How is "4 to the power of 9" calculated?
Calculating 4^9 is done by multiplying 4 by itself three times. So, 4^9 = 4 x 4 x 4, resulting in 262144.
Can I calculate "4 to the power of 9" with negative exponents?
Negative exponents indicate taking the reciprocal of the base raised to the positive exponent. For example, 4^(-9) is equivalent to 1 / (4^9), which is 1/262144.

1-10^2	Result
1^2	1
2^2	4
3^2	9
4^2	16
5^2	25
6^2	36
7^2	49
8^2	64
9^2	81
10^2	100

1-10^3	Result
1^3	1
2^3	8
3^3	27
4^3	64
5^3	125
6^3	216
7^3	343
8^3	512
9^3	729
10^3	1000

1-10^4	Result
1^4	1
2^4	16
3^4	81
4^4	256
5^4	625
6^4	1296
7^4	2401
8^4	4096
9^4	6561
10^4	10000

1-10^5	Result
1^5	1
2^5	32
3^5	243
4^5	1024
5^5	3125
6^5	7776
7^5	16807
8^5	32768
9^5	59049
10^5	100000

What is 4 to the Power of 9? Step-by-Step Calculation

Answer: 4 to the Power of 9 is 262144

Step 1: Understanding Exponents

Step 2: The Calculation Process

Step 3: Practical Applications

Frequently Asked Questions

Important results

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