Math 10
Exponents Worksheet
1. Expand and evaluate the following
A) (−2)3
B) −23
E) (3𝑥)3
F) (𝑥)
2 −4
C) −2−3
D) (−2)−3
G) (𝑥 0 𝑦 −2 𝑧 3 )−2
H) (−1)111
2. Simplify the following
(−1)78
A) (−3)3 + (−100)2
B) (−10)7
C) (−1)2 + (−1)3 + (−1)4
D) 24 − (−2)3
E) 029 − (−1)23
F) (−1)33 + (−1)34
3. Simplify the following
1 2
1 3
2 2
A) (4) × (2)
1 6
10 8
D) (− 10) × (− 2 )
3
2
3 2
3 4
C) (2) − (− 4)
E) 0.023
F) 0.00052
0.2 3
G) (0.8)
2 2
B) (− 5) + (5)
I) 0.32 − 0.53
H) (− 0.01)
4. Factor the following into its prime numbers, then determine if it is a perfect square,
perfect cube, or neither
A) 1764
B) 729
C) 576
D) 345
5. Express the following as a single term in exponent form
A) 52 ÷ 53
1
2
E) 𝑥 × 𝑥
3
4
B) 75 × 493
F)
C)(−𝑥)3 × −𝑥 4
1
1
1 2
(2)
1 4
(2)
÷
𝑦 −1
G) (𝑥 )
𝑥 2
× (𝑦)
D) 𝑎3 × 𝑎4
H) (−𝑥)−3 × −𝑥 4
6. Express the following as a negative exponent
1
A) 64
2 2
B) (3)
C) 0.64
2
4 2
(9)
D) 0.01
1
1
E) 𝑥 2
F) 25
G)
H) 1.21