Infinite Algebra 2 - HW #5.1 Properties of Rational Exponents

Algebra 2

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HW #5.1 Properties of Rational Exponents Simplify. 1) b 2 × 3b 3

2) n 2n 3

3) 2 x 2 × 2 x 0 × 3 x

4) 3 x 2 × 2 x 3

5) x 2 × 3 x 2

6) 3m 0 × 2m 3

Simplify. Your answer should contain only positive exponents. 2

8) (- yx 2) × - x -4 y -5

-5

3

10) u -1v 4 × (u 2v 0)

7) (-a -1b -3) × -a 9) xy × (- y 4)

11) x -4 y -1 × ( xy -1)

-3

12) (- x 0 × x 5 y -3)

5

2

Simplify. Your answer should contain only positive exponents with no fractional exponents in the denominator. 3 2 2

13)

1 5 4 4

x y ×x y 4 2 0 3

(x y )

-

2 -1

14)

7 4 3

m n ×m n

( ) m

5 3

-

1 2

Simplify each expression. 15) (-6 p - 11 + 13 p 4 ) - (-13 p 4 - 3 p + 13)

16) (3a 5 - 12a 3 - 12a 4 ) - (4a + 7a 3 + 14a 4 )

Find each product. 17) (-2m + 6)(5m + 2)

18) (2v - 5)(-3v + 5)

Divide. 19) (3 x 4 + 2 x 3 + 2 x 2 ) ¸ 4 x 3

20) (k 3 - k 2 - 12k + 30) ¸ (k + 4) Worksheet by Kuta Software LLC

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