PROPERTIES OF EXPONENTS WORKSHEET

Problem 1 :

Simplify : 

2m2  2m3

Problem 2 :

Simplify :

m4  2m-3

Problem 3 :

Simplify :

(4a3)2

Problem 4 :

Simplify : 

(x3)0

Problem 5 :

Simplify : 

4a3b 3a4b3

Problem 6 :

Simplify : 

r2/2r3

Problem 7 :

Simplify : 

4x0y2z/ 4x

Problem 8 :

Simplify :

(2xy4)4(xy)5

Problem 9 :

Simplify :

x-4 / x-9

Problem 10 :

Simplify :

x-1 / 4x4

Problem 11 :

Simplify :

(x2y-1)4

Problem 12 :

Simplify :

x2y⋅ x3y2

Solutions

Problem 1 :

Simplify : 

2m2  2m3

Solution :

2m2  2m3  =  2m2  2m3

2m2  2m3  =  4m(2+3)

2m2  2m3  =  4m5

Problem 2 :

Simplify :

m4  2m-3

Solution :

m4  2m-3  =  m4  2m-3

m4  2m-3  =  2m(4 - 3)

m4  2m-3  =  2m1

m4  2m-3  =  2m

Problem 3 :

Simplify :

(4a3)2

Solution :

(4a3) =  42(a3)2

(4a3)2  =  16a(3)(2)

(4a3)2  =  16a6

Problem 4 :

Simplify : 

(x3)0

Solution :

(x3) =  1

Problem 5 :

Simplify : 

4a3b 3a4b3

Solution :

4a3b 3a4b3  =  12a3+4b2+3

4a3b 3a4b3  =  12a7b5

Problem 6 :

Simplify : 

r2/2r3

Solution :

r/ 2r3  =  r/ 2r3

r/ 2r3  =  (1/2) r(2-3)

r/ 2r3  =  (1/2) r-1

r/ 2r3  =  1 / 2r

Problem 7 :

Simplify : 

4x0y2z/ 4x

Solution :

4x0y2z/ 4x  =  4(1)y2z/ 4x

4x0y2z/ 4x  =  y2z/ x

Problem 8 :

Simplify :

(2xy4)4(xy)5

Solution :

(2xy4)4(xy)5  =  24x(y4)xy5

(2xy4)4(xy)5  =  16x4y16x5y5

(2xy4)4(xy)5  =  16x(4+5)y(16+5)

(2xy4)4(xy)5  =  16x9y21

Problem 9 :

Simplify :

x-4 / x-9

Solution :

 x-4 / x-9  =  x-4 / x-9

x-4 / x-9  =  x(-4 + 9)

x-4 / x-9  =  x5

Problem 10 :

Simplify :

x-1 / 4x4

Solution :

x-1 / 4x4  =  (1/4)x-1-4

x-1 / 4x4  =  (1/4)x-5

x-1 / 4x4  =  1/4x5

Problem 11 :

Simplify :

(x2y-1)4

Solution :

(x2y-1)4  =  (x2)4(y-1)4

(x2y-1)4  =  x8y-4

(x2y-1)4  =  x8 y4

Problem 12 :

Simplify :

x2y⋅ x3y2

Solution :

x2y⋅ x3y2  =  x2+3y3+2

x2y⋅ x3y2  =  x5y5

x2y⋅ x3y2  =  (xy)5

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. Digital SAT Math Problems and Solutions (Part - 199)

    Jul 02, 25 07:06 AM

    digitalsatmath268.png
    Digital SAT Math Problems and Solutions (Part - 199)

    Read More

  2. Logarithm Questions and Answers Class 11

    Jul 01, 25 10:27 AM

    Logarithm Questions and Answers Class 11

    Read More

  3. Digital SAT Math Problems and Solutions (Part -198)

    Jul 01, 25 07:31 AM

    digitalsatmath267.png
    Digital SAT Math Problems and Solutions (Part -198)

    Read More