Unary operations | Integer sequences | Figurate numbers | Elementary arithmetic | Number theory
In arithmetic and algebra the seventh power of a number n is the result of multiplying seven instances of n together. So: n7 = n × n × n × n × n × n × n. Seventh powers are also formed by multiplying a number by its sixth power, the square of a number by its fifth power, or the cube of a number by its fourth power. The sequence of seventh powers of integers is: 0, 1, 128, 2187, 16384, 78125, 279936, 823543, 2097152, 4782969, 10000000, 19487171, 35831808, 62748517, 105413504, 170859375, 268435456, 410338673, 612220032, 893871739, 1280000000, 1801088541, 2494357888, 3404825447, 4586471424, 6103515625, 8031810176, ... (sequence in the OEIS) In the archaic notation of Robert Recorde, the seventh power of a number was called the "second sursolid". (Wikipedia).
Index form 7 (power of unit fractions)
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From playlist Indices, powers & roots
Index form 6 (power of power rule)
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From playlist Indices, powers & roots
Index form 3 (powers of negative integers)
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From playlist Indices, powers & roots
Using long division to convert five sevenths to a decimal
From playlist Sevenths
An amazing pattern in the decimal expansions of sevenths.
From playlist Sevenths
Using long division to convert three sevenths to a decimal
From playlist Sevenths
Complex Roots (1 of 5: Observing Complex Conjugate Root Theorem through seventh roots of unity)
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From playlist Complex Numbers
Rewriting roots as rational exponents | Mathematics I | High School Math | Khan Academy
Sal solves several problems about the equivalence of expressions with roots and rational exponents. For example, rewrite ⁶√(g⁵) as g^⅚. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-rational-exponents/math1-introduction-to-rational-exponents-and-radi
From playlist Algebra I | High School Math | Khan Academy
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This calculus video tutorial provides a basic introduction into the constant multiple rule for derivatives. It explains how to find the derivative of a function with a constant in front of the variable. Examples include rational functions, radical functions with square roots, and monomia
From playlist New Calculus Video Playlist
Simplify Radicals with Variables (Large Index and Exponents)
This video explains how to simplify a radical with a large index and variables with large exponents. http://mathispower4u.com
From playlist Simplifying Radicals
Binomial Theorem- a quick introduction
TabletClass Math: https://tcmathacademy.com/ How to expand binomials using the binomial theorem. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/ Math Notes: Pre-Algebra Notes:
From playlist Pre-Calculus / Trigonometry
Ex: Infinite Series - Integral Test Requiring Integration by Parts (Convergent)
This video explains how to apply the Integral Test to determine if an infinite series is convergent or divergent. Site: http://mathispower4u.com
From playlist Infinite Series
Determine Limits at Infinity of Rational Functions Using 2 Methods: Degree and Dividing
This video explains two methods for determine limits at infinity for rational functions.
From playlist Limits at Infinity and Special Limits
Advanced Calculus Delta Epsilon Limit Proof with Trig Function
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Advanced Calculus Delta Epsilon Limit Proof with Trig Function
From playlist Calculus 1 Exam 1 Playlist
Polynomials intro | Mathematics II | High School Math | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:multiply-monomial-polynomial/v/polynomials-intro Polynomials are sums of terms of the
From playlist Mathematics II | High School Math | Khan Academy
De Moivre's Theorem powers of Polar Complex Numbers
I explain how to raise complex numbers in polar form by very high powers by using De Moivre's Theorem. The first example starts at 6:13 Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review te
From playlist PreCalculus
Determine Indefinite Integrals Using U-substitution: Rational with Denominators Raised to Powers
This video explains how to evaluate indefinite integrals using u-substitution.
From playlist Integration by Substitution
Light and Optics 8_1 Diffraction and Resolving Power
Diffraction and resolving power.
From playlist Physics - Light and Optics