Exponent Laws Worksheet

Exponent Laws Worksheet - 3 y 4 ) 4 e) (x-2 y 5 )-2 f) 2 2...

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MPM 1D1 Mrs. Magolon Brown Exponent Laws Worksheet 1. Simplify. a) ) 2 )( 2 ( 3 2 b) (3 2 )(3 4 ) c) (5 3 )(5) d) (4 3 )(4 7 )(4 2 ) e) 2 5 ÷ 2 2 f) 4 6 ÷ 4 3 g) 7 6 ÷ 7 h) 10 10 ÷ 10 8 i) (3 4 ) 2 j) (9 4 ) 3 k) (2 5 ) 3 l) (10 6 ) 6 2. Express as a single power, then evaluate. a) (2 2 )(2 5 ) b) (4 -3 )(4 4 ) c) (5 -3 )(5 5 ) d) (3 -1 )(3 4 ) e) (2 -2 )(2 6 ) f) (10 2 )(10 3 )(10 -4 ) g) (-2) 2 (-2) 3 h) (3 5 )(3 -7 )(3 6 ) i) 10 6 ÷ 10 -3 j) (-5) 6 ÷ (-5) 4 k) 10 10 ÷ 10 6 l) (10 -2 ) -3 m) (3 2 ) 2 n) (2 -1 ) -1 o) ((-4) 2 ) 2 3. Simplify. a) (m 4 )(m 2 ) b) (n 5 )(n -3 ) c) (x -4 )(x 6 ) d) (r 8 )(r -2 ) e) (w -6 )(w 10 ) f) (m 3 )(m -4 )(m 2 ) g) (p -3 ) -2 h) (y 3 ) 2 i) (m -2 ) -3 j) 2 6 m m k) 5 15 y y l) 10 4 - h h 4. Simplify. a) (2y 3 ) 4 b) (3x 5 ) 2 c) (5y 6 ) 2 d) (10b 8 ) 3 e) (10c 3 ) 4 f) (-2m 2 ) 4 5. 6. Simplify. a) (8 6 )(8 -3 ) ÷ 8 4 b) 7 9 ÷ (7 6 )(7 2 ) c) (3 4 )(3 2 ) ÷ (3 2 ) d) ) 5 )( 7 ( ) 7 ( ) 5 ( 3 2 2 3 3 2 e) ) 4 )( 3 ( ) 4 )( 3 )( 4 )( 3 ( 5 7 2 5 3 2 7. Write all powers using a common base, then simplify. a) 4 3 2 16 b) 5 4 5 25 c) 2 5 81 3 8. Simplify. a) (x 3 y 5 )(x 4 y 3 ) b) (x -2 y 4 )(x 4 y -2 ) c) 3 2 6 3 y x y x d) (x
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Unformatted text preview: 3 y 4 ) 4 e) (x-2 y 5 )-2 f) 2 2 2 5 4 ) ( ) ( y x y x Solutions : 1 . a) 2 5 b) 3 6 c) 5 4 d) 4 12 e) 2 3 f) 4 3 g) 7 5 h) 10 2 i) 3 8 j) 9 12 k) 2 15 l) 10 36 2 . a) 128 b) 4 c) 25 d) 27 e) 16 f) 10 g) -32 h) 81 i) 1 000 000 000 j) 25 k) 10 000 l) 1 000 000 m) 81 n) 2 o) 256 3 . a) m 6 b) n 2 c) x 2 d) r 6 e) w 4 f) m g) p 6 h) y 6 i) m 6 j) m 4 k) y 10 l) h 14 4 . a) 16y 12 b) 9x 10 c) 25y 12 d) 1000b 24 e) 10 000c 12 f) 16m 8 5 . a) 8-1 b) 7 c) 3 4 d) (5 3 )(7 4 ) e) 1 6 . a) 2 8 b) 5 3 c) 3-3 d 7 . a) x 7 y 8 b) x 2 y 2 c) xy 3 d) x 12 y 16 e) x 4 y-10 f) y...
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This note was uploaded on 04/19/2011 for the course MTH 110 taught by Professor Helenius during the Fall '08 term at Grand Valley State University.

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