Exponents
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An exponent tells how many times a base number is multiplied by itself. The exponent is written as a small number to the upper right of the base number. For example, in the expression 34, 3 is the base and 4 is the exponent, meaning 3 x 3 x 3 x 3. Exponents can be read in terms of the base being raised to a power, like "three to the fourth power." Negative exponents expand the negative part of the base number. Anything raised to the zero power equals one, except when the base is negative, in which case the result is negative one.
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The document defines exponents and how they are used to represent repeated multiplication of a base number. Exponents tell how many times the base number is multiplied by itself. The exponent is written as a small number to the upper right of the base number. Examples show how to read exponents such as "three to the fourth power" or "three squared" and how to evaluate expressions with exponents by multiplying the base the number of times indicated by the exponent.
Exponent
Exponents indicate how many times a number, known as the base, is used as a factor in a multiplication. The exponent is written as a small number to the right and above the base number. Examples show that 82 means 8 multiplied by itself 2 times and 53 means 5 multiplied by itself 3 times, with the exponent indicating the number of times the base is used as a factor.
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Polynomials are algebraic expressions containing variables with whole number exponents where no variable is in the denominator. Polynomials are classified by the number of terms as monomials (1 term), binomials (2 terms), or trinomials (3 terms) and by degree as linear (degree 1 or 0), quadratic (degree 2), cubic (degree 3), quartic (degree 4), or quintic (degree 5). Standard form arranges polynomials by descending degree with like terms combined and the leading coefficient is the coefficient of the highest degree term.
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Polynomials are algebraic expressions with whole number exponents containing one or more terms separated by addition and subtraction. They are classified by:
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M8 acc l esson 8-1 angles of transversals & parallel lines.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms.
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The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help boost feelings of calmness, happiness and focus.
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The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help boost feelings of calmness, happiness and focus.
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The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms for those who already suffer from conditions like depression and anxiety.
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The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms.
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The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms.
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The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms.
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The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms.
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Exponents
- 1. Exponents
- 2. Location of Exponent An exponent is a little number highAn exponent is a little number high and to the right of a regular or baseand to the right of a regular or base number.number. 3 4 Base Exponent
- 3. Definition of Exponent An exponent tells how many timesAn exponent tells how many times a number is multiplied by itself.a number is multiplied by itself. 3 4 Base Exponent
- 4. What an Exponent Represents An exponent tells how many timesAn exponent tells how many times a number is multiplied by itself.a number is multiplied by itself. 3 4 = 3 x 3 x 3 x 3
- 5. How to read an Exponent This exponent is readThis exponent is read three to thethree to the fourth power.fourth power. 3 4 Base Exponent
- 6. How to read an Exponent This exponent is readThis exponent is read three to thethree to the 22ndnd powerpower oror three squared.three squared. 3 2 Base Exponent
- 7. How to read an Exponent This exponent is readThis exponent is read three to thethree to the 3rd power3rd power oror three cubed.three cubed. 3 3 Base Exponent
- 8. Read These Exponents 3 2 6 72 3 5 4
- 9. What is the Exponent? 2 x 2 x 2 = 2 3
- 10. What is the Exponent? 3 x 3 = 3 2
- 11. What is the Exponent? 5 x 5 x 5 x 5 = 5 4
- 12. What is the Base and the Exponent? 8 x 8 x 8 x 8 = 8 4
- 13. What is the Base and the Exponent? 7 x 7 x 7 x 7 x 7 =7 5
- 14. What is the Base and the Exponent? 9 x 9 = 9 2
- 15. How to Multiply Out an Exponent to Find the Standard Form = 3 x 3 x 3 x 33 9 27 81 4
- 16. What is the Base and Exponent in Standard Form? 4 2 = 16
- 17. What is the Base and Exponent in Standard Form? 2 3 = 8
- 18. What is the Base and Exponent in Standard Form? 3 2 = 9
- 19. What is the Base and Exponent in Standard Form? 5 3 = 125
- 20. Evaluating Exponents with Negative Bases: Ex1 (-2)4 = (-2)(-2)(-2)(-2) = 16 Ex2 -24 = -2(2)(2)(2) = -16 The negative is included within the parenthesis. Expand the negative. The negative is NOT included within the parenthesis. Expand the 2 ONLY, then attach the negative at then end.
- 21. Evaluating Exponents with Negative Bases: Ex3 (-5)3 = (-5)(-5)(-5) = -125 Ex4 -53 = -5(5)(5) = -125 The negative is included within the parenthesis. Expand the negative. The negative is NOT included within the parenthesis. Expand the 5 ONLY, then attach the negative at then end.
- 22. Exponents of Zero Anything Raised to Zero = 1. Ex5 20 = 1 Ex6 (-2)0 = 1 Ex7 -20 = -1 Ex8 x0 = 1 Notice this answer is -1, not just 1. This is because the negative on the base of 2 is NOT being raised to the zero power.