Fill in the blanks with <, > or = sign.

(a) 3² ______15

(b) 2³ ______ 3²

(c) 7⁴ ______5⁴

(d) 10,000 ______ 10⁵

(e) 6³ _____4⁴

(a) We know that 3² = 3 × 3

= 9

So 9 < 15

Therefore the answer for the fill in the blanks = <

(b) We know that 3² = 3 × 3

= 9

We also know that 2³ = 2 × 2 × 2

= 8

So 8 < 9

Therefore the answer for the fill in the blanks = <

(c) We know that 7⁴ = 7 × 7 × 7 × 7

= 49 × 49

= 2401

We also know that 5⁴ = 5 × 5 × 5 × 5

= 25 × 25

= 625

So 2401 > 625

Therefore the answer for the fill in the blanks = >

(d) The power of 10 represent the number of zeroes accompanying 10.

So 10⁵ = 1, 00,000

10,000 < 10⁵

Therefore the answer for the fill in the blanks = <

(e) We know that 6³ = 6 × 6 × 6

= 6 × 36

= 216

We also know that 4⁴ = 4 × 4 × 4 × 4

= 16 × 16

= 256

So 216 < 256

Therefore the answer for the fill in the blanks = <