130 to the Power of 8 = 130 ⁸ = 8.15730721E+16

Welcome to our exponent calculator! We're exploring the concept of "130 to the power of 8". Let's break down what this means and how to calculate it.

What are Exponents?

An exponent is a mathematical operation where we multiply a number (called the base) by itself a certain number of times (indicated by the power or exponent). In our case, 130 is the base, and 8 is the exponent.

Calculation

To calculate 130 to the power of 8, we multiply 130 by itself 8 times. Here's the step-by-step process:

Step	Calculation	Result
1	130	130
2	130 × 130	16900
3	130 × 130 × 130	2197000
4	130 × 130 × 130 × 130	285610000
5	130 × 130 × 130 × 130 × 130	37129300000
6	130 × 130 × 130 × 130 × 130 × 130	4826809000000
7	130 × 130 × 130 × 130 × 130 × 130 × 130	6.2748517E+14
8	130 × 130 × 130 × 130 × 130 × 130 × 130 × 130	8.15730721E+16

Solution: 130 to the power of 8 is equal to 8.15730721E+16.

How to write 130 to the power of 8 ?

Step 1: Understand the Concept

"130 to the power of 8" means we're multiplying 130 by itself 8 times. Let's break this down:

130 to the power of 8 = 130 × 130 × 130 × 130 × 130 × 130 × 130 × 130

Step 2: Learn the Notation

In mathematics, we have a special way to write this more concisely. We use superscript notation:

130⁸

Here, 130 is called the "base", and 8 is called the "exponent" or "power".

Step 3: Understand Alternative Notations

Sometimes, especially when typing or in programming, you might see it written as:

130⁸

This means the same thing as 130⁸.

Step 4: Calculate the Result

If we actually compute this:

130⁸ = 130 × 130 × 130 × 130 × 130 × 130 × 130 × 130 = 8.15730721E+16

Note: Remember, the exponent (8 in this case) tells us how many times to multiply the base (130) by itself.

Practice

Try writing these on your own:

129 to the power of 7
131 to the power of 9
8 to the power of 130

Interactive Power Calculator

Similar Calculations:

Number	Power	Answer
131	8	131⁸ = 8.6730203469006E+16
132	8	132⁸ = 9.2170395205042E+16
133	8	133⁸ = 9.790686120232E+16
130	7	130⁷ = 6.2748517E+14

Related Mathematical Operations

Square Root

The square root is the inverse operation of squaring a number. For our example:

v6.2748517E+14 ≈ 25,049,654.0894

This is approximate because 130^8 isn't a perfect square.

Logarithm

Logarithms are the inverse of exponential functions. The logarithm of 6.2748517E+14 with base 130 should equal 8:

log₁₃₀(6.2748517E+14) = 8

Exponent Properties

1. Multiplying exponents with the same base: 130^a * 130^b = 130^(a+b)

Example: 130² * 130³ = 130⁵ = 37129300000

2. Dividing exponents with the same base: 130^a / 130^b = 130^(a-b)

Example: 130⁵ / 130² = 130³ = 2197000

130 to the Power of 8 = 130 8 = 8.15730721E+16