Real Number System
1) Evaluate the following with rational exponents 8⅔
- 5
- 6
- 7
- 4
Answer: 4
2) Evaluate the following with rational exponents (27)⁻⅔
- 3/2
- 1/8
- 1/9
- 2/3
Answer: 1/9
3) Evaluate the following with rational exponents (100)3/2
- 1000
- 4000
- 2000
- 3000
Answer: 1000
4) Evaluate the following with rational exponents 93/2
- 12
- 28
- 45
- 27
Answer: 27
5) Evaluate the following with rational exponents (x²)½
- x
- 2x²
- x²
- 2x
Answer: x
6) Evaluate the following with rational exponents (64a⁶)⅙
- 3a²
- 2a
- 2a²
- 3a
Answer: 2a
7) Evaluate (y¹²) ¼ with rational exponents
- y²
- 2y
- y
- y³
Answer: y³
8) Evaluate (a⁸)¼ with rational exponents
- a
- 2a
- a²
- a³
Answer: a²
9) Solve (4)⁵ / (4)² using the properties of exponents
- 45
- 32
- 21
- 64
Answer: 64
10) Solve the following using the properties of exponents (y)⅔ × (y)⅓
- y³
- y²
- y
- 3y
Answer: y
11) Solve (x)¼ × (x)¹ using the properties of exponents
- d
- b
- a
- c
Answer: a
12) Solve (y)¹ × (y)² using the properties of exponents
- y³
- y²
- 2y
- y
Answer: y³
13) Solve the properties of exponents? (x)⅔ × (x)⁻⅓
- x⅔
- x⅓
- x⅚
- x⅘
Answer: x⅓
14) Solve (5)⁴/(5)² the using properties of exponents
- 45
- 35
- 25
- 13
Answer: 25
15) Solve the following using the properties of exponents
- d
- c
- b
- a
Answer: d
16) Solve the following using the properties of exponents
- b
- c
- d
- a
Answer: c
17) Solve the following using the properties of exponents (4^3/2)²
- 45
- 64
- 12
- 65
Answer: 64
18) Solve the following using the properties of exponents
- b
- d
- a
- c
Answer: b
19) Solve the following using the properties of exponents
- b
- a
- d
- c
Answer: a
20) Solve (9 × 4)½ using the properties of exponents
- 4
- 6
- 9
- 7
Answer: 6
21) Solve (5 × 2)² using the properties of exponents
- 245
- 200
- 124
- 100
Answer: 100
22) Solve the following using properties of exponents (8/27) ⅓
- 8/9
- 3/7
- 4/2
- 2/3
Answer: 2/3
23) Solve the following using properties of exponents (x/z) ⅕
- x½ / z⁴
- x² / z²
- x⅖ / z⅖
- x⅕ / z⅕
Answer: x⅕ / z⅕
24) Solve (7/2)ˣ using the properties of exponents
- 8ˣ/3ˣ
- 2ˣ/3ˣ
- 7ˣ/2ˣ
- 8x/5x
Answer: 7ˣ/2ˣ
25) Solve (7/5)⁻³ using the properties of exponents
- (5/7)³
- (9/7)²
- (5/9)³
- (5/7)²
Answer: (5/7)³
26) Solve the following using properties of exponents (12⅓ / 4⅓)⁻²
- (1/3)⅔
- (1/6)⅝
- (1/5)⅔
- (2/9)⅝
Answer: (1/3)⅔
27) Solve the following using properties of exponents x⁻½ / y ⁻⅓
- x½
- y⅓ / x½
- x⅓ / y½
- y⅔
Answer: y⅓ / x½
28) Solve the following using properties of exponents
- d
- b
- c
- a
Answer: d
29) Solve (5 × 5)² using the properties of exponents?
- 457
- 123
- 478
- 625
Answer: 625
30) Solve the following using properties of exponents
- d
- a
- b
- c
Answer: d