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Problems ask students to simplify expressions using law of exponents, including powers of fractions and integers, products raised to a power, and expressions with negative exponents or division in exponent form. Multiple versions present questions and corresponding solutions, reinforcing conversion of exponential forms into expanded products and simplified numerical results. Includes score-style ranges and complete answer listings for quick 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skill do these problems practice?","Question",{"text":112,"@type":113},"They practice solving and simplifying expressions by applying the laws of exponents.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Do the materials include an answer key?",{"text":117,"@type":113},"Yes, the document provides an “Answer Key” with solutions for the listed problems.",{"name":119,"@type":110,"acceptedAnswer":120},"What types of exponent expressions are included?",{"text":121,"@type":113},"The questions include powers of fractions, integer powers, and products or quotients expressed using exponent 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|\n|  |  |  |  |\n| 2) | 32 × 33 ==  | 2. |  |\n|  |  |  |  |\n|  |  | 3. |  |\n|  |  |  |  |\n| 3) | (34)2 = = | 4. |  |\n|  |  |  |  |\n| 4)\u003Cbr>5) | 32 × 3-4 =   = \u003Cbr>2-2 = =  | 5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8. |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  | 9. |  |\n|  |  |  |  |\n| 6) | (2 × 3)2 ==  | 10. |  |\n|  |  |  |  |\n| 7) | 21 = = |  |  |\n|  |  |  |  |\n| 8) | 3-2 × 33 = = |  |  |\n|  |  |  |  |\n| 9) | 0\u003Cbr>3 = = |  |  |\n|  |  |  |  |\n| 10) | 2-3 = =  |  |  |\n|  |  |  |  |\n\n\n|  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n\n1-10 90 80 70 60 50 40 30 20 10 0  \n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nSolving Using the Laws of Exponents  \nName: Answer Key  \n\n| Solve each problem using the laws of exponents.\u003Cbr>1) ( 1⁄3 )2 = 1⁄32 = ~~ ~~19~~ ~~ \u003Cbr>2) 32 × 33 = 32 + 3 = 243 \u003Cbr>3) (34)2 = 34 × 2 = 6,561 \u003Cbr>4) 2 -4  1 \u003Cbr>3 × 3 = 32-4 = 9\u003Cbr>5) 1 2-2 = 1⁄22 =  4 \u003Cbr>6) (2 × 3)2 = 22 × 32 = 36 \u003Cbr>7) 21 = 2 = 2 \u003Cbr>8) 3-2 × 33 = 3-2 + 3 = 3 \u003Cbr>9) 30 = 1 = 1 \u003Cbr>10)  1  2-3 = 1⁄23 = 8 |  |  |  | Answers\u003Cbr> 1 \u003Cbr>1.  9  2.  243 \u003Cbr>3.  6,561   1 \u003Cbr>4.  9   1 \u003Cbr>5.  4 \u003Cbr>6.  36  7.  2  8.  3 \u003Cbr>9.  1   1 \u003Cbr>10.  8  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1-10 | 90 | 80 | 70 |  | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nSolving Using the Laws of Exponents  \nName:  \n\n| Solve each problem using the laws of exponents. |  | Answers\u003Cbr>\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>\u003Cbr>4.  \u003Cbr>\u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr> 1 \u003Cbr>4\u003Cbr>6,561\u003Cbr>243\u003Cbr>2\u003Cbr>36\u003Cbr> 1 \u003Cbr>9\u003Cbr> 1 \u003Cbr>9 |  |  |  |  |  |  |  |  |  |\n| 1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>5)\u003Cbr>6)\u003Cbr>7) | ( 1⁄3 )2 =   = \u003Cbr>32 × 33 =   = \u003Cbr>(34)2 =  = \u003Cbr>32 × 3-4 =  = \u003Cbr>2-2 =  = \u003Cbr>(2 × 3)2 =   = \u003Cbr>21 =  =  |  |  |  |  |  |  |  |  |\n| 1-7 |  |  | 86 | 71 | 57 | 43 | 29 | 14 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1  \nSolving Using the Laws of Exponents  \nName:  \n\n| Solve each problem using the laws of exponents. |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8.\u003Cbr>9.\u003Cbr>10. | Answers |\n| --- | --- | --- | --- |\n| 1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>5)\u003Cbr>6)\u003Cbr>7)\u003Cbr>8)\u003Cbr>9)\u003Cbr>10) | (32)3 == \u003Cbr>(3 × 2)2 == \u003Cbr>( 1⁄2 )2 == \u003Cbr>21 =  = \u003Cbr>24 × 2-3 =   = \u003Cbr>0\u003Cbr>2 =  = \u003Cbr>3-2 × 34 =   = \u003Cbr>34 × 33 == \u003Cbr>2-2 =  = \u003Cbr>(22)3 == \u003Cbr>|  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 2 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2 1-10)[ 2](Math www.CommonCoreSheets.com 2 1-10)[ 1-10](Math www.CommonCoreSheets.com 2 1-10) 90 80 70 60 50 40 30 20 10 0  \n\n|  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n\nSolving Using the Laws of Exponents  \nName: Answer Key  \n\n| Solve each problem using the laws of exponents. |  |  |  |  |  |  |  | Answers |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) | (32)3 = 32 × 3 = 729  |  |  |  | 1. |  |  | 729 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 2) | (3 × 2)2 = 32 × 22 = 36  |  |  |  | 2.\u003Cbr>3. |  |  | 36 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  1 \u003Cbr>4 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 3) | ( 1⁄2 )2 = 1⁄22 = ~~ ~~14~~ ~~  |  |  |  | 4.\u003Cbr>5. |  |  | 2 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  | 2 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |","cbCaipYgvitqetDw","https://ap.wps.com/l/cbCaipYgvitqetDw","pdf",468246,"English","# Solve each problem using the laws of exponents\n## Problems 1-10\n## Answer key","[{\"question\":\"What skill do these problems practice?\",\"answer\":\"They practice solving and simplifying expressions by applying the laws of exponents.\"},{\"question\":\"Do the materials include an answer key?\",\"answer\":\"Yes, the document provides an “Answer Key” with solutions for the listed problems.\"},{\"question\":\"What types of exponent expressions are included?\",\"answer\":\"The questions include powers of fractions, integer powers, and products or quotients expressed using exponent rules.\"}]","Solving Using the Laws of Exponents - Solve each problem | PDF",1790773225,76]