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" The 3d power of (2 a — rf)4 is (2a — rf)^«+« = (2a — d)4x3=(2a — d)". That is, any quantity, which is already a power of a compound quantity, may be raised to any power by multiplying its exponent by the exponent of the power to which it is... "
An Introduction to Algebra: Upon the Inductive Method of Instruction - Σελίδα 186
των Warren Colburn - 1837 - 276 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

High School Algebra: Embracing a Complete Course for High Schools and Academies

William James Milne - 1892 - 376 σελίδες
...second quantity increased by 1. 1. Since the number of terms in a power of a binomial is one more than the exponent of the power to which it is to be raised, the exponent of the first quantity in any term of a power is equal to the number of terms that term...

Elements of Algebra: A Course for Grammar Schools and Beginners in Public ...

William James Milne - 1894 - 199 σελίδες
...liaise the numerical coefficient to the required power; multiply the exponent of each literal quantity by the exponent of the power to which it is to be raised, and prefix the proper sign to the result. 2. What is the third power of — -? SOLUTION. 3ж2y3 3xV...

Elements of Algebra: A Course for Grammar Schools and Beginners in Public ...

William James Milne - 1894 - 199 σελίδες
...Raise the numerical coefficient to the required power; multiply the exponent of each literal quantity by the exponent of the power to which it is to be raised, and prefix the proper sign to the result. 2. What is the third power of SOLUTION { 2ab* Y= 2a62 x 2a62...

A Treatise on Chemistry and Chemical Analysis: Arithmetic, elementary ...

1900
...f« a.-» = --?-. Ans.' act n 2» na/ «~» 3». _^ •) = c •«-£»' = f » =_ Ans. 135. A letter may be raised to any power by multiplying its exponent by the index of the power. Thus, («')» = a, («')-» = a-1, etc. EXAMPLE. — Find the values of the following:...

New Practical Arithmetic

Eugene L. Dubbs - 1901 - 440 σελίδες
...a factor. Then 12* = 20,736. RULE. Take the number as a factor as many times as there are units in the exponent of the power to which it is to be raised. The following tables of squares and cubes should be memorized : The square of 1 is 1. 5 is 25. 9 is...

School Algebra

James William Nicholson - 1909 - 316 σελίδες
...Raise the numerical coefficient to the required power ; multiply the exponent of each literal factor by the exponent of the power to which it is to be raised. All powers of a positive number are positive. All even powers of a negative number are positive, and...

Elementary Algebra with a Table of Logarithms

Julius Lederer Neufeld - 1920 - 383 σελίδες
...therefore, any required power of a quantity can be found by multiplying the exponent of that quantity by the exponent of the power to which it is to be raised. This rule will hold whether the exponents are numbers or letters. (x2)6 = xw and (am)" = amn If the...

A First Course in Algebra, Βιβλίο 1

Edward Ira Edgerton, Perry Amherst Carpenter - 1923 - 392 σελίδες
...numerical coefficient to the required power. (2) Multiply each of the exponents of the given quantity by the exponent of the power to which it is to be raised. The law of exponents in involution may be expressed in symbols thus, Oral Exercises Perform the indicated...

A Second Course in Algebra, Βιβλίο 2

Edward Ira Edgerton, Perry Amherst Carpenter - 1924 - 461 σελίδες
...numerical coefficient to the required power and (2) multiply each of the exponents of the given quantity by the exponent of the power to which it is to be raised. The law of exponents in involution may be expressed in symbols thus (xm)" = xm". NOTE. You should notice...




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