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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  • 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 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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  • 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 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 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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  • 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 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 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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  • 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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  • 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 10 to the 100th power?

    A: Ten to the 100th power is the number 1 followed by 100 zeros, also called a "googol." A googol exceeds the total number of atoms in the observable universe.
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  • How do you add exponents?

    Q: How do you add exponents?

    A: An exponent is a shorthand way of showing how many times to multiply a number by itself. The number 9 with a small raised 3 on its upper right, also commonly expressed as 9^3, represents the base of 9 to the 3rd power, for instance; the raised 3 is the exponent. Simplify multiplication of two exponents with the same base number using exponent addition.
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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 simplified square root of 24?

    A: The simplified square root of 24 is 2 multiplied by the square root of 6, which can also be written as 2 sqrt (6). The square root of 24 is simplified by expressing it as a multiplication of the factors 4 and 6. The sqrt (4 x 6) is equivalent to sqrt (24).
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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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  • What is the exponential parent function?

    Q: What is the exponential parent function?

    A: The exponential parent function is the most basic form of an exponential function. From the general form of an exponential function y = ab^x, an exponential parent function has a value for a equal to one. Therefore, the exponential parent function is written simply as y = b^x.
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  • What does a negative number in parentheses next to an exponent not in parenthesis mean?

    Q: What does a negative number in parentheses next to an exponent not in parenthesis mean?

    A: A negative number in parentheses followed by an exponent indicates that the negative number is to be raised to the power indicated by the exponent. For example, (-3)^2 is the same as (-3) x (-3), which equals 9.
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  • How do you solve equations with PEMDAS?

    Q: How do you solve equations with PEMDAS?

    A: PEMDAS, or Please Excuse My Dear Aunt Sally, is the mnemonic device for order of mathematical operations used to solve algebraic equations. It represents parentheses, exponents, multiplication, division, addition and subtraction. Equations cannot just be solved left-to-right because the proper order of operations must be observed.
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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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