Question

4. Identify the greater number, wherever possible, in each of the
following?
(i) 4^3 or 3^4
(ii) 5^3 or 3^5 (iii) 2^8 or 8^2
(iv) 100^2or2^100
(v) 2^10 or 10^2
​

Answer 1

Answer:

Step-by-step explanation:

(i) 43or34

43=4⋅4⋅4=64

34=3⋅3⋅3⋅3=81

∴34>43

(ii) 53or35

53=125

35=243

∴35>53

(iii) 28or82

28=(2⋅2⋅2⋅2)2=162=96

82=64

∴28>82

(iv)1002or2100

1002=10000

2100=(210)10=102410

∴2100>1002

answers

Answer 2

Answer:

i) 3^4

ii) 3^5

iii)2^8

iv) 2^100

v) 2^10

Step-by-step explanation:

i) 4^3=64 while 3^4=81

ii) 5^3=125 while 3^5=243

iii)2^8=256 while 8^2=64

iv) 100^2=10,000, while 2^14=16,384 <<2^100

v) 2^10=1,024 while 10^2=100

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