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Worksheets

Monomials Practice

Total questions: 8

Worksheet time: 2hrs 0mins

Name
Class
Date
1.

Simplify the following:

 3x4x2y33x\cdot4x^2y^3  

a)

 7x3y37x^3y^3  

b)

 12x3y312x^3y^3  

c)

 12x2y312x^2y^3  

d)

 7x2y37x^2y^3  

2.

Simplify the following:

 (4x3)2\left(4x^{-3}\right)^{-2}  

a)

 116x5\frac{1}{16x^5}  

b)

 16x6-16x^6  

c)

 8x6-8x^6  

d)

 x616\frac{x^6}{16}  

3.

Simplify the following:

 yx2(xy0)4yx^2\cdot\left(xy^0\right)^{-4}  

a)

 1x2y3\frac{1}{x^2y^3}  

b)

 yx2yx^2  

c)

 yx2\frac{y}{x^2}  

d)

 yx3\frac{y}{x^3}  

4.

Simplify the following:

 (2x2y3)2x4y0\left(2x^2y^3\right)^2\cdot x^4y^0  

a)

 4x8y54x^8y^5  

b)

 4x8y64x^8y^6  

c)

 2x8y62x^8y^6  

d)

 2x4y62x^4y^6  

5.

Simplify the following:



a)

 125a7b5125a^7b^5  

b)

 15a12b615a^{12}b^6  

c)

 125a12b6125a^{12}b^6  

d)

 15a9b615a^9b^6  

6.

Simplify the following:



a)

4x124x^{12}

b)

4x44x^4

c)

14x4\frac{1}{4}x^4

d)

14x12\frac{1}{4}x^{12}

7.

Simplify the following:



a)

19bc2\frac{1}{9}bc^2

b)

19abc2\frac{1}{9}abc^2

c)

9bc29bc^2

d)

9bc2-9bc^2

8.

Simplify the following:

 (ba2a2b3)3\left(\frac{ba^2}{a^2b^3}\right)^3  

a)

 1a12b12\frac{1}{a^{12}b^{12}}  

b)

 1b3\frac{1}{b^3}  

c)

 b12a12b^{12}a^{12}  

d)

 1b6\frac{1}{b^6}