# 3 to the fourth power

## Evaluate -3 to the fourth power The phrases 3 to the 4th power and 3 to the power of 4 are equivalent to the When you read that a number is to a certain 'power,' that means that you're.

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Exponents represent shorthand notations of repeated multiplications, often written with the number or variable to be multiplied followed by a superscript value for the number of multiplications. The equation x times x times x times x can be rewritten as xxxx or x4 note that the four is written as a superscript but may not be displayed. Numbers or variables raised to the second power are simply called squared, and numbers raised to the third power are termed cubed. Multiplying and dividing exponents of similar variables or numbers only requires basic arithmetic skills of adding, subtracting and multiplying. Multiply exponents by adding the exponents together. Divide exponents by subtracting the exponents from each other.

In arithmetic and algebra , the fourth power of a number n is the result of multiplying four instances of n together. Fourth powers are also formed by multiplying a number by its cube. Furthermore, they are squares of squares. The sequence of fourth powers of integers also known as biquadrates or tesseractic numbers is:. The last two digits of a fourth power of an integer in base 10 can be easily shown for instance, by computing the squares of possible last two digits of square numbers to be restricted to only twelve possibilities:.

The product of factors is also displayed in this table. How long do you think that would take? Writing 2 as a factor one million times would be a very time-consuming and tedious task. Exponential notation is an easier way to write a number as a product of many factors. For example, to write 2 as a factor one million times, the base is 2, and the exponent is 1,, We write this number in exponential form as follows:. So far we have only examined numbers with a base of 2.

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If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Worked example: Exponent properties. Next lesson. Current timeTotal duration Video transcript Simplify x to the third, and then that raised to the fourth power times x squared, and then that raised to the fifth power.

Welcome to 3 to the 4th power , our post about the mathematical operation exponentiation of 3 to the power of 4. If you have been looking for 3 to the fourth power, or if you have been wondering about 3 exponent 4, then you also have come to the right place. The number 3 is called the base, and the number 4 is called the exponent. In this post we are going to answer the question what is 3 to the 4th power. Keep reading to learn everything about three to the fourth power. As the exponent is a positive integer, exponentiation means a repeated multiplication:. If you have come here in search of an exponentiation different to 3 to the fourth power, or if you like to experiment with bases and indices, then use our calculator below.

Exponents are a shorthand used for repeated multiplication. Remember that when you were first introduced to multiplication it was as a shorthand for repeated addition. Exponents are the same type of shorthand for multiplication. Exponents are written in superscript that is, a smaller number written above after a regular-sized number. The number in larger font is called the base. The number in superscript is called the exponent.

## 3 to the 4th Power

Learning Objective s. A common language is needed in order to communicate mathematical ideas clearly and efficiently. - This is an online calculator for exponents.

## Fourth power

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Algebra basics Foundations Exponents. Practice: Exponents basic. Comparing exponent expressions. .

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