Directions: Study the following questions carefully and choose the right answer:
Important for :
1
The value of (256)5/4 is :
» Explain it
C
From the given equation :

(256) 5/4

= (445/4

= 4(4 × 5/4)

45

= 1024.

Hence, option C is correct.

2
 1 + 1 + 1 = (216)−2/3 (256)−3/4 (32)−1/5
» Explain it
A
Given expression =

 1 + 1 + 1 (216)−2/3 (256)−3/4 (32)−1/5

1 + 1 + 1
 63×(–2/3)
 44×(–3/4)
 25×(–1/5)

= 1  +  1  +  1
 6–2
 4–3
 2–1

= (62 + 43 + 21)

= (36 + 64 + 2)

= 102.

Hence, option A is correct.

3
(2.4 × 103÷ (8 × 10–2) = ?
» Explain it
B
Given equation

= (2.4 × 103) ÷ (8 × 10–2

 then, 2.4 × 103 8 × 10– 2

 = 24 ×102 8 × 10– 2

=  (3 × 104)

Hence, option B is correct.

4
 ( 1 ) –2/3 ÷ ( 1 ) –4/3 = ? 216 27
» Explain it
C
Given equation:

 ( 1 ) –2/3 ÷ ( 1 ) –4/3 =  ? 216 27

(216)(2/3) ÷ (27)(4/3)

 = (216)2/3 = (63)×(2/3) . (27)4/3 (33)×(4/3)

 = 62 = 36 = 4 34 81 9

Hence, option C is correct.

5
 (1000)7 ÷ 1018 = ?
» Explain it
C
 Given equation = (1000)7 ÷ 1018 .

 ⇒ (1000)7 ⇒ (103)7 ⇒ 10(3 × 7) . (10)18 (10)18 (10)18

 ⇒ 1021 = 10(21 - 18)  ⇒  103  = 1000. (10)18

Hence, option C is correct.