8 to the 4th power

SOLUTION: What is 8 to the 4th power equal

8 to the 4th power

8 to the 4th power is equal to 4, In general, to evaluate the exponential expression an, we multiply a by itself n times. Consider the expression See full .

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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,,

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.

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:. These twelve possibilities can be conveniently expressed as 00, e 1, o 6 or 25 where o is an odd digit and e an even digit. Every positive integer can be expressed as the sum of at most 19 fourth powers; every sufficiently large integer can be expressed as the sum of at most 16 fourth powers see Waring's problem.

Welcome to 8 to the 4th power , our post about the mathematical operation exponentiation of 8 to the power of 4. If you have been looking for 8 to the fourth power, or if you have been wondering about 8 exponent 4, then you also have come to the right place. The number 8 is called the base, and the number 4 is called the exponent. In this post we are going to answer the question what is 8 to the 4th power. Keep reading to learn everything about eight to the fourth power.

Think of the number 7 In this problem students work with powers of numbers and, as a consequence, come to understand what is happening to the numbers. Students also see how an apparently enormous and difficult calculation can be broken down into manageable parts. The students should come to realise that there are only a limited number of unit digits obtained when 7 is raised to a power. This cycle is 7, 9, 3, 1, 7, 9, ….



Fourth power

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Fractional (Rational) Exponents

An exponential expression is an expression of the form a n , where a is a number or expression called the base, and n is a number called the power, or exponent. The power, or exponent, of an exponential expression tells us what we need to know to evaluate the expression. In general, to evaluate the exponential expression a n , we multiply a by itself n times. Consider the expression Become a Study. Try it risk-free for 30 days. Watch 5 minute video clips, get step by step explanations, take practice quizzes and tests to master any topic.

Basic Rules Negative Sci. Not'n Eng. Not'n Fractional. You already know of one relationship between exponents and radicals: the appropriate radical will "undo" an exponent, and the right power will "undo" a root. For example:. But there is another relationship — which, by the way, can make computations like those above much simpler.

Learning Objective s. A common language is needed in order to communicate mathematical ideas clearly and efficiently. Exponential notation is one example. It was developed to write repeated multiplication more efficiently. For example, growth occurs in living organisms by the division of cells. One type of cell divides 2 times in an hour.

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3 COMMENTS

  1. Zachary S. says:

    Exponent properties- part 1/2

  2. Milburga M. says:

    SOLUTION: what is (1/8) to the -4th power

  3. Tácito E. says:

    If you're seeing this message, it means we're having trouble loading external resources on our website.

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