Question

Find: (16)3/2
& ii) (243)2/5

Answer 1

Answer:

Answer (16) 5/4 ×(8) 4/3

(25) 3/2 ×(243) 3/5

⇒ (2×2×2×2) 5/4 ×(2×2×2) 4/3(5×5)3/4×(3×3×3×3×3) 3/5

⇒ (2 4 ) 5/4×(2 3 ) 4/9

(5 2 ) 3/2 ×(3 5) 3/5

⇒ 2 5×2 4

5 3 ×3 3

⇒ 2 9(5×3) 3

∵9 5×9 10=9 15 ⇒

2 9

15 3

Answer

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