SIMPLIFYING EXPRESSIONS WITH NEGATIVE EXPONENTS WORKSHEET

Question 1 :

Simplify : 

x5(x-2)-3

Question 2 :

Simplify : 

x[x4(x-3)2]-5

Question 3 :

Simplify : 

y-4(y3)-5

Question 4 :

Simplify : 

t4[t3(t-2)5]4

Question 5 :

Simplify : 

y4[y-2(y5)2]-3

Question 6 :

Simplify : 

w3[w4(w-3)6]2

Detailed Answer Key

Question 1 :

Simplify : 

x5(x-2)-3

Solution :

=  x5(x-2)-3

=  x⋅ x6

=  x5 + 6 

=  x11 

Question 2 :

Simplify : 

x[x4(x-3)2]-5

Solution :

=  x[x4(x-3)2]-5

=  x[x4(x-6)]-5

=  x(x4 - 6)-5

=  x(x-2)-5

=  x(x10)

=  x1 + 10

=  x11

Question 3 :

Simplify : 

y-4(y3)-5

Solution :

=  y-4(y3)-5

=  y-4(y-15)

=  y-4 - 15

=  y-19

=  1/y19

Question 4 :

Simplify : 

t4[t3(t-2)5]4

Solution :

=  t4[t3(t-2)5]4

=  t4[t3(t-10)]4

=  t4(t3 - 10)4

=  t4(t-7)4

=  t4(t-28)

=  t4 - 28

=  t-24

  =  1/t24

Question 5 :

Simplify : 

y4[y-2(y5)2]-3

Solution :

=  y4[y-2(y5)2]-3

=  y4[y-2(y10)]-3

=  y4(y-2 + 10)-3

=  y4(y8)-3

=  y4(y-24)

=  y4 -24

=  y-20

=  1/y20

Question 6 :

Simplify : 

w3[w4(w-3)6]2

Solution :

=  w3[w4(w-3)6]2

=  w3[w4(w-18)]2

=  w3(w4 - 18)2

=  w3(w-14)2

=  w3(w-28)

=  w- 28

=  w-25

=  1/w25

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