Exponents

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Exponential math is any mathematical operation involving an exponent, which is the number or symbol placed above and after another number or symbol to indicate the power to which the former number is to be raised, Wikipedia explains. The operation 4 x 4, for example, is written exponentially as 4^2.

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  • What Is an Exponent in Standard Form?

    Q: What Is an Exponent in Standard Form?

    A: The standard form of an exponent is how people see numbers normally. For example, five to the sixth power is in exponent form, and the standard form of this exponent is 15,625.
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  • What Is a List of Perfect Squares?

    Q: What Is a List of Perfect Squares?

    A: A list of perfect squares under 100 includes 1, 4, 9, 16, 25, 36, 49, 64 and 81. Perfect squares are infinite in number because they are found by multiplying a number by itself, meaning that the possibilities are endless. Although there are many square numbers, perfect squares are unique and very easy to calculate since whole numbers are involved.
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  • What Method Is Used for Dividing Negative Exponents?

    Q: What Method Is Used for Dividing Negative Exponents?

    A: Because a negative exponent turns the base into its reciprocal, a simple method for dividing negative exponents is letting the negative cancel and multiplying by the positive exponential expression. Regents Prep notes that when multiple exponents have the same base, the terms can be easily divided or multiplied because the exponents themselves can be added or subtracted.
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  • What Are the Division Properties of Exponents?

    Q: What Are the Division Properties of Exponents?

    A: The division properties of exponents are: when dealing with like bases, exponents are subtracted when the bases are divided; when an entire quotient is raised to an exponential power, both the numerator and denominator are raised to the power before division is performed. One way to employ the division properties of exponents is to expand the terms above and below the dividing line for like bases.
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  • Who Invented Exponents?

    Q: Who Invented Exponents?

    A: Euclid discovered the concept underlying the exponent, calling the area of a square a power of the length of a single side. Archimedes later generalized the idea of powers in his work, "The Sand Reckoner." He discovered and proved the law of exponents in the same work.
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  • What Is the Definition of "exponent" in Math?

    Q: What Is the Definition of "exponent" in Math?

    A: In math, the definition of an exponent is a numerical notation that indicates the number of times a number is to be multiplied by itself. The exponent is written as a small number in superscript following the number to be multiplied.
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  • What Are Logs and Exponents?

    Q: What Are Logs and Exponents?

    A: Exponents are numbers that indicate the number of times a function is multiplied by itself, while logs are used to determine the exponential function needed to express a particular number or mathematical phrase. Exponents can be expressed through log functions, and logs can be expressed through exponential functions.
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  • In What Real-Life Situations Would You Use Polynomials?

    Q: In What Real-Life Situations Would You Use Polynomials?

    A: Polynomials are often used to find the displacement of an object under the influence of gravity. They can also be used in real-life situations from financial planning to meteorology.
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  • How Is "exponential Math" Defined?

    Q: How Is "exponential Math" Defined?

    A: Exponential math is any mathematical operation involving an exponent, which is the number or symbol placed above and after another number or symbol to indicate the power to which the former number is to be raised, Wikipedia explains. The operation 4 x 4, for example, is written exponentially as 4^2.
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  • Q: What Is the Square Root of 2?

    A: The square root of 2 is approximately 1.41. Like all square roots of nonperfect square numbers, the square root of 2 is an irrational number, so the decimal never ends and never falls into a repeating pattern.
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  • Q: What Is the Square Root of 325?

    A: The square root of 325 is 18.0277563773. This answer is derived by multiplying 18.0277563773 by 18.0277563773 which is equal to 325.
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  • Q: What Is a Zero Exponent?

    A: An exponent tells the problem solver how many times to multiply a number by itself; therefore, a zero exponent tells the problem solver to multiply the number zero times by itself. Basically, any number with a zero exponent is equal to one, unless the base number is zero.
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  • Who Invented Exponential Functions?

    Q: Who Invented Exponential Functions?

    A: Exponential functions were created by two men, John Napier and Joost Burgi, independently of each other. Napier was from Scotland, and his work was published in 1614, while Burgi, a native of Switzerland, developed his work in 1620.
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  • Q: What Is the Square Root of 18 in Simplified Radical Form?

    A: The simplified radical form of the square root of 18 is written as 3 times the square root of 2. The simplified radical form of a square root can be found by factoring out the squares of whole numbers.
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  • Q: What Is the Square Root of 1,156?

    A: The square root of 1,156 is 34. The square root of a number, expressed by the variable y, is equal to the number, expressed by the variable x, such that when x is multiplied by itself the product is y.
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  • Q: What Is the Square Root of 109?

    A: The square root of 109 is 10.44. The square root is expressed through the formula x times x equals y, where x is the square root of y. Plugging the number 109 into the equation results in 10.44 times 10.44 equals 109.
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  • What Is the Square Root of 64?

    Q: What Is the Square Root of 64?

    A: The number 64 has two square roots: -8 and 8. This is because 8 squared, or 8 times 8, is 64, and -8 squared, or -8 times -8, is also 64. Its principal square root is 8.
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  • Q: What Is the Square Root of 8?

    A: According to Math Warehouse, the square root of eight is 2.82. The square root of eight function can be simplified by factoring out the square of the whole number and rewriting the equation of the square root of four times the square root of two.
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  • What Is 10 to the 6th Power?

    Q: What Is 10 to the 6th Power?

    A: Ten raised to the sixth power is equal to one million or 1,000,000, which is a one followed by six zeros. Raising a number to a power of six is the same as multiplying the number by itself six times.
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  • Q: How Do You Set up a Mobile Hotspot With Your AT&T Phone?

    A: Any 4G or hotspot enabled AT&T phone can launch a mobile hotspot by following the instructions for the device being used on the AT&T website. The method of setting up the hotspot is different for each device, but each result in available Wi-Fi.
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  • Who Created Exponents?

    Q: Who Created Exponents?

    A: The Greek mathematician Archimedes is credited with discovering and proving the law of exponents in "The Sand Reckoner." His famous work was designed to express the number of grains of sand that can fit in the universe, leading to a discussion about the way to refer to large numbers.
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