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 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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  • 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 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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  • 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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  • 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 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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  • 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 576?

    A: The square root of 576 is 24, since the number 576 is the product of 24 squared. The square root of a number is arrived at by obtaining the factors of the given number.
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  • Q: What is the square root of 48?

    A: The square root of 48 is 6.93. The square root can be expressed by the formula x times x equals y, where x is the square root of y. Plugging in 48, the formula is expressed as 6.93 times 6.93 equals 48.
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  • Q: What are some basic operations with polynomials?

    A: The four basic operations of polynomials are addition, subtraction, multiplication and division. Polynomials are algebraic expressions that contain one or more variables. The coefficient of the polynomial is the number that is written in front of the variable.
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  • Q: What is the square root of 58?

    A: The square root of 58 is 7.61. The square root can be determined by finding a number, y, that when multiplied by itself equals the number x, such that y times y equals x.
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  • What is the simplest radical form of the square root of 24?

    Q: What is the simplest radical form of the square root of 24?

    A: The simplest radical form of the square root of 24 is 2?6. It is the simplest radical form because it has no remaining square roots to simplify further.
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  • Q: What is the square root of zero?

    A: The square root of 0 is also 0. This is because 0 multiplied or divided by any number is 0. There is only one other number where the square root is equal to the original number, namely 1.
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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: What is the square root of negative one?

    A: The square root of negative one is "i," the imaginary number. This concept is immensely useful in mathematics, as it allows for there to be square roots of negative numbers, which is otherwise not possible using only real numbers.
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  • Q: What are some of the multiples of 32?

    A: The first 10 multiples of 32 are 32, 64, 96, 128, 160, 192, 224, 256, 288 and 320. A multiple is the original number multiplied by an integer, which is a number that is not a fraction.
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  • Q: What is the square root of 72?

    A: The square root of 72 is approximately 8.49 when rounded to the nearest hundredth. Since it is not a perfect square, it can most easily be solved by using a scientific calculator. If this option is unavailable, there are a few tricks you can do to arrive at a solution.
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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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  • 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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