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Q&A for How to Divide Exponents
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QuestionHow can I divide a by b, if both have exponent c?DonaganTop AnswererIt would be the fraction (a/b) raised to the power of c.
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QuestionHow do I divide a positive number with a positive exponent by a positive number with a negative exponent?Community AnswerFirst of all, the two positive numbers (the bases) have to be the same. If they are, you subtract the exponent in the denominator from the exponent in the numerator. If the denominator's exponent is negative, you treat it as if it were positive and add it to the numerator's exponent. Thus, x^3 ÷ x^(-1) = x^4.
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QuestionWhat is 400 divided by 10^3?Community Answer400 / 10³ = 400 / 1000 = 0.4.
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QuestionWhat do I do with whole numbers that don't divide into each other?Community AnswerAny whole number (except zero) will divide into any other whole number, although in many cases you'll wind up with a remainder. However, if you're talking about exponential expressions, the base number in the numerator must match the base number in the denominator, in which case you simply subtract the denominator's exponent from the numerator's exponent and retain the base number.
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QuestionWhat is 4/3 to the power 4 divided by 2/9 to the power 4?Community Answer(4/3)ˆ4 / (2/9)ˆ4 = [ (4/3)/(2/9) ]ˆ4 ...[aˆn / bˆn = (a/b)ˆn] = [ (4/3) x (9/2) ]ˆ 4 = [ (4x9)/(3x2) ]ˆ4 = [ 36/6 ]ˆ4 = [ 6 ]ˆ4 = 1296
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QuestionHow do I divide a bionomial numerator with has no exponents with denominator with the same base as the numerator, but with negative exponents x + y / x1 + y1?DonaganTop AnswererLet's assume you are trying to divide (x + y) by [(x^-1) + (y^-1)]. The denominator (the expression in brackets) can be simplified this way: [(x^-1) + (y^-1)] = (1/x) + (1/y) = (y/xy) + (x/xy) = (y + x) / xy = (x + y) / xy. Taking this last expression as the new denominator, we now have (x + y) / [(x + y) / xy]. Because the denominator is now a fraction, we can invert it and multiply by the numerator to get the final result. Thus, (x + y)(xy / (x + y) = xy. The final answer is xy. If this is confusing, remember that to divide by a fraction, you invert the fraction and multiply it by the other number.
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QuestionWhat is (8/9) to the 2nd exponent? Is it 64/81?DonaganTop AnswererYes. (8/9)² = 8² / 9² = 64 / 81.
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QuestionHow do I divide exponents with different bases?DonaganTop AnswererFirst evaluate each base-and-exponent pair, then do the division. For example, 2^8 / 3³ = 256 / 27 = 9.48.
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QuestionHow do I multiply 2^6 * 5^5?DonaganTop Answerer(2^6)(5^5) = (64)(3125) = 200,000.
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QuestionHow can I calculate -2 to the power of 2 divided by 3?DonaganTop Answerer(-2)² / 3 = 4 / 3.
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QuestionWhat is 3 to power of 4 divided by 3 to the power of 4?DonaganTop AnswererAny number divided by itself equals 1.
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Question6 x 6 x 6 should be divided by what number to get 3 x 3 x 3 x 3?DonaganTop Answerer6 x 6 x 6 = 216. 3 x 3 x 3 x 3 = 81. Divide 216 by 81.
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QuestionWhat's another way of writing a^(m/n)?DonaganTop Answerer[a^m]^(1/n). This means the nth root of (a^m).
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QuestionHow to divide y^2/y^3SamJ1307Community AnswerSubtract the exponent. y^2/y^3 = y^(2-3) = y^(-1) = 1/y Whenever a number has a negative exponent, you have to invert it to get a positive exponent. Like y^(-1) = 1/y^1 = 1/y.
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QuestionHow do I divide a^x by b^y?Community AnswerYou cannot divide them, because they do not have the same base (a and b). So you have to leave the expression as (a^x) / (b^y).
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QuestionWhat (is x³+3x²+1) divided by (x² - x + 1)?Community AnswerThis is a polynomial divided by a polynomial. See Divide Polynomials and Divide Polynomials Using Synthetic Division
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QuestionWhat is 5 x 10^9 divided by 1 x 10^10?Community Answer(5 x 10^9) ÷ (1 x 10^10) = (5/1) x 10^(9 - 10) = 5 x 10^(-1) = 5 x (0.1) = 0.5 = 1/2.
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QuestionHow do you divide x^2 /x^3?Community Answerx² / x³ = x^(2 - 3) = x^(-1) = 1 / x^(1) = 1 / x.
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QuestionWhat do I do when the denominator is larger, and I end up with negative values?Community AnswerIf you mean that the exponent in the denominator is larger than the exponent in the numerator (and the bases are the same), yes, you will wind up with a negative exponent in the answer. A negative exponent indicates a reciprocal. Thus, for example, x^ 6 / x^8 = x^(-2) = 1/x².
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