A Treatise on Algebra: By Charles SmithMacmillan and Company, 1888 - 571 σελίδες |
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Σελίδα x
... POWERS AND ROOTS . FRACTIONAL AND NEGATIVE INDICES . Index Laws Roots of arithmetical numbers Surds obey the Fundamental Laws of Algebra Fractional and negative indices Rationalizing factors Examples XVII . 199 201 202 204 209 211 ...
... POWERS AND ROOTS . FRACTIONAL AND NEGATIVE INDICES . Index Laws Roots of arithmetical numbers Surds obey the Fundamental Laws of Algebra Fractional and negative indices Rationalizing factors Examples XVII . 199 201 202 204 209 211 ...
Σελίδα 3
... power of a , aaa is called the third power of a , aaaa is called the fourth power of a , and so on . Sometimes a is called the first power of a . Special names are also given to aa and to aaa ; they are called respectively the square ...
... power of a , aaa is called the third power of a , aaaa is called the fourth power of a , and so on . Sometimes a is called the first power of a . Special names are also given to aa and to aaa ; they are called respectively the square ...
Σελίδα 4
... power of a is to be taken , and n is called the index . When the factor a is only to be taken once , we do not write it a1 , but simply a . 10. A number which when squared is equal to any number a is called a square root of a , and is ...
... power of a is to be taken , and n is called the index . When the factor a is only to be taken once , we do not write it a1 , but simply a . 10. A number which when squared is equal to any number a is called a square root of a , and is ...
Σελίδα 17
... powers of the same letter is equal to the sum of the indices of the factors . We can prove in the following S. A. 2 manner that this is true whenever the indices are positive MULTIPLICATION OF MONOMIAL EXPRESSIONS . 17.
... powers of the same letter is equal to the sum of the indices of the factors . We can prove in the following S. A. 2 manner that this is true whenever the indices are positive MULTIPLICATION OF MONOMIAL EXPRESSIONS . 17.
Σελίδα 18
... powers of a negative quantity are alternately positive and negative . 7. Find the cubes of 2a2b , - 3ab2c3 , and of - 2a2bx3y3 . Ans . 8a6b3 , -27a3b6c9 and -8a * b3x3y¤ . 8. Find the values of ( -a ) 2 × 18 FUNDAMENTAL LAWS ...
... powers of a negative quantity are alternately positive and negative . 7. Find the cubes of 2a2b , - 3ab2c3 , and of - 2a2bx3y3 . Ans . 8a6b3 , -27a3b6c9 and -8a * b3x3y¤ . 8. Find the values of ( -a ) 2 × 18 FUNDAMENTAL LAWS ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c a₁ arithmetic mean arithmetical progression ax² b₁ binomial Binomial Theorem C₁ Cambridge coefficient contain continued fraction Crown 8vo denominator determinant digits divergent divide divisible divisor Edition equal equation ax example expansion Extra fcap Fcap Find the number Find the sum follows geometrical progression given expression Globe 8vo greater Hence the required infinity letters logarithm MACMILLAN'S Multiply negative nth convergent nth root nth term number of terms obtained P₁ periodic continued fraction positive integer powers prime number Professor prove quadratic equation quadratic surd quotient ratio remainder School Shew Solve the equation square root subtract suppose Theorem Trinity College u₁ unknown quantities white ball whole number zero
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