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8.6 Practice - Rational Exponents Write each expression in radical form. 1) m 3 5 3) (7x) 3 2 2) (10r)− 3 4 4) (6b) − 4 3 Write each expression in exponential form. 5) 1 ( 6x √)3 7) 1 (4 n √)7 6) v √ 8) 5a √ Evaluate. 9) 8 2 3 11) 4 3 2 10) 16 1 4 12) 100− 3 2 Simplify. Your answer should contain only positive exponents. 13) yx 1 ...
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Preview and Download !Your answer should contain only positive exponents. 35) n4 4n-2 36) - 3x-1 3x3 ©j w2p0O2e0d bKZuQtlao USLoGf]tCw`aarOea KLILrCX.t H gAIlAlp Gr^iHgzh_tlsE Gr]epseezrKvUevdB.t T jMZaxdReB Nw`i\txhy RI]nXfeiUndiltieI hAglsgheKbCrbaR u1k. Worksheet by Kuta Software LLC-4-37) 2a3b2-4a-1 38) - 4x3 xy
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Preview and Download !Exponents Study the box below. Simplify. Write the answers in exponent form in the space provided. 2. 3. 14 23 Rules: To multiply powers with like bases, add the exponents. Use the sum as the exponent with the base. To divide powers with like bases, subtract the exponents. Use the difference as the exponent Examples: 44 45 _ 36—2 = 34 32 13 ...
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Preview and Download !We can evaluate algebraic expressions with negative exponents using the definition of negative exponents. Write each expression using a positive exponent. 1. 6 4 6 1 4 2. ( 7) 8 (1 7)8 3. b 6 b 1 6 4. n 1 n 1 1 or n 1 Write each fraction as an expression using a negative exponent other than 1. 5. 2 1 2 2 2 6. 1 1 34 13 4 7. 2 1 5 5 2 8. 4 1 9 7 ...
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Preview and Download !1 Label all unlabeled exponents “1” 2 Take the reciprocal of the fraction and make the outside exponent positive. 3 Get rid of any inside parentheses. 4 Reduce any fractional coefficients. 5 Move all negatives either up or down. Make the exponents positive. 6 Combine all like bases. 7 Distribute the power to all exponents.
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Preview and Download !Worksheet 4 – Exponents Grade 10 Mathematics 1. Complete the table: Power Base Exponent Value 2. Write down the six laws for exponents. 3. Simplify the following (Leave your answer with positive exponents):
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Preview and Download !Printable Worksheets @ www.mathworksheets4kids.com Name : Standard Form & Exponential Form Integers: S1 1) 32 = 2) 125 = 3) 81 = 4) 128 = 5) 1,331 = 6) 49 = A) Write the following numerals in expanded form and standard form. 5 ±6 3,125 1,296 729 3 64 8 Exponential Form Expanded Form Standard Form Standard Form Exponential Form
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Preview and Download !Exponents and Division Date_____ Period____ Simplify. Your answer should contain only positive exponents. 1) 54 5 2) 3 33 3) 22 23 4) 24 22 5) 3r3 2r 6) 7k2 4k3 7) 10 p ... Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com. Title: Exponents and Division
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Preview and Download !In the previous examples the exponents in the original monomial were all positive. It is quite possible that the exponents in either the numerator or the denominator could be negative. Example 7: Simplify: 4 3 2 4 x y x y-- - W e will divide like bases by subtracting the exponents. Be very careful with the signs. ) 4 32 ( 4 4 3 2 4 ...
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Preview and Download !MATH 11011 INTEGER EXPONENTS KSU Deflnition: † An exponent is a number that tells how many times a factor is repeated in a product. For example, in the problem 24, 2 is called the base and 4 is the exponent. 24 = 2| ¢2{z¢2¢2} 4 times = 16: Integer Exponent Rules: † Product Rule: For any integers m and n, am ¢an = am+n: When multiplying like bases, we add the exponents.
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