Infinite Algebra 2 - HW #4.2 Rational Exponents

College Preparatory Mathematics

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HW #4.2 Rational Exponents

Date________________ Period____

Simplify. 1) (k 4 ) 0.75 3) (125a

2) (36n 6 ) 0.5

4 6 3

)

4) (k

1 12 3

)

3 8 2

5) ( p ) Write each expression in radical form. 6) (7n)

5 3

7) (4v)

-

2 3

1 2 3

8) (6m ) Write each expression in exponential form.

( 6 a)7 5 6 11) ( 10 x )

10)

9)

a

Simplify. Your answer should contain only positive exponents with no fractional exponents in the denominator. -

3 4 2 3

1 -1 2

1 -1 2

12) 3 xy × 2 x y

13) 3 x y × 2 x y

1 3 3 2

1 7 3 4

()

14) u 16)

( )

15) y

x 4 3 -2

x y Simplify. 3

-189u 4 v 8 19) 54u 3 v 4 21) 72m 3 n 3 23) 4 5 (3 - 5 5 ) 25) 20 × 6 27) 15 × -4 15 17)

18) 20) 22) 24) 26)

4

128m 7 n 7 4 405 x 5 y 6 10 ( 2 + 2) 15 ( 10 - 4 6 ) 3 × 15

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