133 to the Power of 4 = 133 4 = 312900721

Welcome to our exponent calculator! We're exploring the concept of "133 to the power of 4". 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, 133 is the base, and 4 is the exponent.

Calculation

To calculate 133 to the power of 4, we multiply 133 by itself 4 times. Here's the step-by-step process:

Step Calculation Result
1133133
2133 × 13317689
3133 × 133 × 1332352637
4133 × 133 × 133 × 133312900721

Solution: 133 to the power of 4 is equal to 312900721.

How to write 133 to the power of 4 ?

Step 1: Understand the Concept

"133 to the power of 4" means we're multiplying 133 by itself 4 times. Let's break this down:

133 to the power of 4 = 133 × 133 × 133 × 133

Step 2: Learn the Notation

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

1334

Here, 133 is called the "base", and 4 is called the "exponent" or "power".

Step 3: Understand Alternative Notations

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

1334

This means the same thing as 1334.

Step 4: Calculate the Result

If we actually compute this:

1334 = 133 × 133 × 133 × 133 = 312900721
Note: Remember, the exponent (4 in this case) tells us how many times to multiply the base (133) by itself.

Practice

Try writing these on your own:

  1. 132 to the power of 3
  2. 134 to the power of 5
  3. 4 to the power of 133

Interactive Power Calculator

Similar Calculations:

Number Power Answer
134 4 1344 = 322417936
135 4 1354 = 332150625
136 4 1364 = 342102016
133 3 1333 = 2352637

Related Mathematical Operations

Square Root

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

v2352637 ≈ 1,533.8308

This is approximate because 133^4 isn't a perfect square.

Logarithm

Logarithms are the inverse of exponential functions. The logarithm of 2352637 with base 133 should equal 4:

log133(2352637) = 4

Exponent Properties

1. Multiplying exponents with the same base: 133a * 133b = 133(a+b)

Example: 1332 * 1333 = 1335 = 41615795893

2. Dividing exponents with the same base: 133a / 133b = 133(a-b)

Example: 1335 / 1332 = 1333 = 2352637

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