POWERS OF MONOMIALS WORKSHEET
Simplify :
1)
(2a)5
2)
(6b6)2
3)
(5x7)2
4)
(10y3)3
5)
(1.5z3)4
6)
(5m4)4
7)
(4a9)4
8)
(12x2y6)2
9)
(5a5b)3
10)
(2x5y2z3)4
Detailed Answer Key
Answer (1) :
= (2a)5
Power of a Product Property :
= (2)5(a)5
= 32a5
Answer (2) :
= (6b6)2
Power of a Product Property :
= (6)2(b6)2
Power of a Power Property :
= 36b6 ⋅ 2
= 36b12
Answer (3) :
= (5x7)2
Power of a Product Property :
= (5)2(x7)2
Power of a Power Property :
= 25x7 ⋅ 2
= 25x14
Answer (4) :
= (10y3)3
Power of a Product Property :
= (10)3(y3)3
Power of a Power Property :
= 1000y3 ⋅ 3
= 1000y9
Answer (5) :
= (1.5z3)4
Power of a Product Property :
= (1.5)4(z3)4
Power of a Power Property :
= 5.0625z3 ⋅ 4
= 5.0625z12
Answer (6) :
= (5m4)4
Power of a Product Property :
= (5)4(m4)4
Power of a Power Property :
= 625m4 ⋅ 4
= 625m16
Answer (7) :
= (4a9)4
Power of a Product Property :
= (4)4(a9)4
Power of a Power Property :
= 256a9 ⋅ 4
= 256a36
Answer (8) :
= (12x2y6)2
Power of a Product Property :
= (12)2(x2)2(y6)2
Power of a Power Property :
= 144x2 ⋅ 2y6 ⋅ 2
= 144x4y12
Answer (9) :
= (5a5b)3
Power of a Product Property :
= (5)3(a5)3(b)3
Power of a Power Property :
= 125a5 ⋅ 3b3
= 125a15b3
Answer (10) :
= (2x5y2z3)4
Power of a Product Property :
= (2)4(x5)4(y2)4(z3)4
Power of a Power Property :
= 16x5 ⋅ 4y2 ⋅ 4z3 ⋅ 4
= 16x20y8z12
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