...equal to the coefficient of the dividend divided by t lie coefficient of the divisor. The exponent of a letter in the quotient is equal to its exponent in the dividend minus its exponent in the divisor. 70. If a letter has the same exponent in the dividend and divisor, the exponent of that letter in the...

...to n- factors, am — = axa Xax ••• torn — и factors = a™"". a" Hence, the exponent of a letter in the quotient is equal to its exponent in the dividend, minus its exponent in the divisor. This is called the Law of Exponents for Division. DIVISION OF MONOMIALS 7L 1. Let it be required to...

...coefficient of the divisor, and to the result annex the letters, giving to each letter an exponent equal to its exponent in the dividend minus its exponent in the divisor. EXERCISE 15 Perform mentally the indicated division : 2aт-4 9 ж ж'4/4 1. 2. 3. 4. 54ffl2у 108 m2c...

...aXaX0X— to n factors, — =оXaXaX••- to m — n factors =0™-*. an Hence, the exponent of a letter in the quotient is equal to its exponent in the dividend, minus its exponent in the divisor. This is called the Law of Exponents for Division. \J DIVISION OF MONOMIALS 64. 1. Let it be required...

...common factor aXaXaX... to n factors, — =oXaXoX". to m- n factors =a™-". an Hence, the exponent of a letter in the quotient is equal to its exponent in the dividend, minus its exponent in the divisor. This is called the Law of Exponents for Division. DIVISION OF MONOMIALS 64. 1. Let it be required to...

...coefficient of the divisor. 127. Law of Exponents, or Index Law, for Division. — The exponent of a number in the quotient is equal to its exponent in the dividend minus its exponent in the divisor. Since a number divided Ъу itself equals 1, a5 -f- a5 = a6"6 = a° = 1 ; that is, a number whose exponent...

...the coefficient of the divisor, annexing to the result the literal factors, each 1vith an exponent equal to its exponent in the dividend minus its exponent in the divisor. Ora1 Dril1 Give orally the quotients of : 1. 2. 3. 4. 5. q3)q7 q3) — q° —a?)я?_ — m2) — m7...

...28^ 2* = -*x = 28 = 2—, and = ax, or In like manner, 6 6/ -=- 2 г/8 = 3 bу1, or 3 6 • у5 - s. These examples illustrate the PRINCIPLE. The exponent...foregoing principle expressed in general terms is : na-bn» = n°-». What this equation means when b = a and when 6 is greater than a will be explained...

...the quotient will be minus; as, -12b+(-4b)=S. The law for exponents in division. The exponent of a letter in the quotient is equal to its exponent in the dividend minus its exponent in the divisor. Example. Divide a4 by a2. a 7 i- a* aXaXaXa _, , , , solution. — = - — - . Two factors of the ~...

...dividend except those having the same exponent in divisor and dividend, giving to each letter an exponent equal to its exponent in the dividend minus its exponent in the divisor. If there are any letters in the divisor unlike those in the dividend, write them under the preceding...