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 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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  • 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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  • 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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  • 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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  • 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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  • 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 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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  • Q: What is the square root of 16?

    A: The square root of 16 is 4. The square root of any number pertains to a value that, when multiplied by itself, results in the original number.
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  • Q: What is the square root of 63?

    A: The square root of 63 is 7.93. The square root of a number, expressed as the variable y, is another number, expressed by the variable x, that when multiplied by itself equals y, as in the formula x times x equals y.
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  • Q: What is the square root of 61?

    A: The square root of 61 is 7.81. A squared number means that number is multiplied by itself. The square root is the opposite. It indicates the number, when multiplied by itself, equals the first number.
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  • Q: What is 4 squared in math?

    A: Four squared in math is 16, as any number squared is multiplied by itself. Another way to express four squared is to say four to the second power.
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  • Q: What is the square root of 46?

    A: The square root of 46 is 6.78. The square root of a number can be expressed by the formula x times x equals y, where y is the square of x. Plugging in 46 to this formula results in 6.78 times 6.78 equals 46.
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  • Q: What is the Maclaurin series for ln(1+x)?

    A: The Maclaurin series for ln(1+x) is ln(1+x) = x - x^2/2 + x^3/3 - x^4/4 + x. This series gives an approximate value of ln(1+x) when x is between minus one and one. The more terms are included, the more accurate the value will be.
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  • Q: What is the square root of 121?

    A: The square root of 121 is 11 or negative 11. The factors of 121 are 11 x 11. Similarly, negative 11 x negative 11 is also 121. To obtain an exact square root, the number must be a perfect square.
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  • Q: What is the square root of 4000?

    A: The square root of 4,000 is 63.24. That value can be obtained by using the radical function on either a scientific or graphing calculator. The square root of 4,000 can also be written as 20 times the square root of 10.
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  • What are the first eight multiples of the number six?

    Q: What are the first eight multiples of the number six?

    A: The first eight multiples of the number six are 6, 12, 18, 24, 30, 36, 42 and 48. Multiples are obtained by multiplying a number by integers, so the multiples of 6 can be obtained by multiplying 6 by integers starting from 1.
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  • What are exponential function rules?

    Q: What are exponential function rules?

    A: Exponential function rules are the mathematical guidelines for functions that take the form of f(x) = b^x, where the base is a positive real number. With these functions, the growth rate is proportional to their value.
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  • Q: What is 6.02 times 10 to the 23rd power?

    A: The equation of 6.02 times 10 to the 23rd power is equal to 602,000,000,000,000,000,000,000, or 602 followed by 21 zeros. This number is read aloud as "602 sextillion" and is a reference to Avogadro's number.
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  • What is the "Nth" term in a mathematical equation?

    Q: What is the "Nth" term in a mathematical equation?

    A: The "Nth" term in a mathematical equation is used to represent an unknown position in a geometrical sequence. A geometric sequence follows a specific mathematical pattern to create a series of numbers. When a sequence is given and the user is asked to find the next value, this formula can be used to solve for the geometric pattern.
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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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