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Simplifying Exponential Expressions - HW

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

 10xy5x+4x2y34x2y2\frac{10xy}{5x}+\frac{4x^2y^3}{4x^2y^2}  

a)

 3y-3y  

b)

 3y23y^2  

c)

 3y3y  

d)

 3y2-3y^2  

2.

 72x4y39xy2\frac{-72x^4y^3}{9xy^2}  

a)

 8x3y8x^3y  

b)

 8x3y-8x^3y  

c)

 8x3y1-8x^3y^{-1}  

d)

 8x2y-8x^2y  

3.

 (3n+2p)(7np)\left(3n+2p\right)\left(7n-p\right)  

a)

 21n311np2p221n^3-11np-2p^2  

b)

 21n211np+2p221n^2-11np+2p^2  

c)

 21m2+11nq2p221m^2+11nq-2p^2  

d)

 21n2+11np2p221n^2+11np-2p^2  

4.

 (3y27)(7y25y13)\left(3y^2-7\right)-\left(7y^2-5y-13\right)  

a)

 4y25y6-4y^2-5y-6  

b)

 4y2+5y+6-4y^2+5y+6  

c)

 4y2+5y64y^2+5y-6  

d)

 4y3+6y64y^3+6y-6  

5.

 42a2b26ab\frac{42a^2b^2}{-6ab}  

a)

 7ab-7ab  

b)

 7ab2-7ab^2  

c)

 7ab7ab  

d)

 7a2b2-7a^2b^2  

6.

 (6x5)(6x5)\left(6x-5\right)\left(6x-5\right)  

a)

 36x260x+2536x^2-60x+25  

b)

 36x60x225-36x-60x^2-25  

c)

 36x360x+2536x^3-60x+25  

d)

 36x2+60x25-36x^2+60x-25  

7.

 36x4y2z6x4\frac{36x^4y^2z}{-6x^4}  

a)

 6x0y2z-6x^0y^2z  

b)

 6y2z-6y^2z  

c)

 6y3z-6y^3z  

d)

 6y2z26y^2z^2  

8.

 (n+1)(n2+2n+1)\left(n+1\right)\left(n^2+2n+1\right)  

a)

 n33m23n1n^3-3m^2-3n-1  

b)

 n33n23n1-n^3-3n^2-3n-1  

c)

 n2+3n33n+1-n^2+3n^3-3n+1  

d)

 n3+3n2+3n+1n^3+3n^2+3n+1  

9.

 18ab36b2+5a2b5a\frac{18ab^3}{6b^2}+\frac{5a^2b}{5a}  

a)

 4ab-4ab  

b)

 4ab4ab  

c)

 4ab2-4ab^2  

d)

 4ab24ab^2  

10.

 (x27x+12)(x23x1)\left(x^2-7x+12\right)\left(x^2-3x-1\right)  

a)

 x410x3+32x229x12x^4-10x^3+32x^2-29x-12  

b)

 x410x2+23x229x12x^4-10x^2+23x^2-29x-12  

c)

 x4+10x332x2+29x+12-x^4+10x^3-32x^2+29x+12  

d)

 x4103+32x2+29x+12-x^4-10^3+32x^2+29x+12