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Name___________________________________  \nRadicals and Rational Exponents Date________________ Period____  \nWrite each expression in radical form.  \n 1   4  \n2 3  \n1) 7 2) 4  \n5   4  \n3 3  \n3) 2 4) 7  \n3   1  \n2 6  \n5) 6 6) 2  \nWrite each expression in exponential form.  \n7) ( 10 ) 3 8)   \n9) ( 4 2 )5 10) ( 4 5 )5  \n3 6  \n11) 2 12) 10  \nWrite each expression in radical form.  \n5   1  \n− −  \n13) (5x) 4 14) (5x) 2  \n3   6  \n15) ( 10n)2 16) a 5  \n17) (6v)1.5 − ~~ ~~12  \n18) m  \nWrite each expression in exponential form.  \n19) ( 4 m ) 3 20) ( 3 6x )4  \n4  \n21) v 22) 6 p  \n23) ( 3 3a)4 24) ~~ ~~1~~ ~~5 ( 3k )  \nSimplify.  \n 1   4  \n−  \n2 3  \n25) 9 26) 343  \n 1   3  \n6 2  \n27) 1000000 28) 36  \n 1   1   \n29) (x6 ) 2 30) (9n4 ) 2  \n 1   1   \n−  \n31) (64n12 ) 6 32) (81m6 ) 2  \nKuta Software-Infinite Algebra 2  \nRadicals and Rational Exponents  \nWrite each expression in radical form.  \n 1   \n2  \n1) 7  \n7  \nName  Date  Period   \n4  \n3  \n2) 4  \n( 3 4 )4  \n5   4  \n3 3  \n3) 2 4) 7  \n( 3 2 )5 ( 3 7 )4  \n3   1  \n2 6  \n5) 6 6) 2  \n( 6 ) 3   \nWrite each expression in exponential form.  \n7) ( 10 ) 3  \n3  \n2  \n10  \n9) ( 4 2 )5  \n5  \n4  \n2  \n11) 3 2  \n 1   \n3  \n2  \nWrite each expression in radical form.  \n5  \n−  \n13) (5x) 4  \n1  \n( 4 5x )5  \n3 15) ( 10n)2  \n( 10n) 3  \n6  \n8) 2  \n 1   \n62  \n4  \n10) ( 55 )5  \n45  \n6  \n12) 10  \n 1   \n610  \n1   \n−  \n14) (5x) 2  \n1  \n5x  \n16)  \n6  \n5 a  \n( 5 a )6  \n17) (6v)1.5  \n( 6v ) 3  \nWrite each expression in exponential form.  \n19) ( 4 m ) 3  \n3  \n4 m  \n4  \n21) v  \n 1   \n4  \nv  \n23) ( 3 3a)4 4  \n(3a) 3  \n1   \n−  \n2  \n18) m  1   \n m  \n20) ( 3 6x )4 4  \n(6x) 3  \n22) 6 p  \n 1 (6 p) 2  \n24)  1 ( 3k )5  \n5  \n−(3k) 2  \nSimplify.  \n 1   4  \n−  \n2 3  \n25) 9 26) 343  \n3  1   \n2401  \n 1   3  \n6 2  \n27) 1000000 28) 36  \n10 216  \n 1   1   \n29) (x6 ) 2 30) (9n4 ) 2  \nx 3 3n2  \n 1   1   \n−  \n31) (64n12 ) 6 32) (81m6 ) 2  \n 1  9m3 2n2  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiuw1GCfod2Lm","https://ap.wps.com/l/cbCaiuw1GCfod2Lm","pdf",35084,"English","# Write each expression in radical form\n# Write each expression in exponential form\n# Simplify","[{\"question\":\"What kinds of problems are on this worksheet?\",\"answer\":\"It contains exercises that rewrite expressions in radical form, convert expressions to exponential form, and then simplify results.\"},{\"question\":\"How do students approach the conversions between radical and exponential forms?\",\"answer\":\"Students use the relationship between radicals and rational exponents, then apply exponent/radical rules to keep the expressions equivalent.\"},{\"question\":\"What does the “Simplify” section require?\",\"answer\":\"It requires simplifying given radical or exponent expressions into equivalent forms using valid exponent and radical properties.\"}]","Radicals and Rational Exponents - Radicals and Rational Exponents Worksheet | PDF"]