Evaluate: (i) ∛100 × ∛270(ii) ∛121 × ∛297

1.	Evaluate: (i) ∛100 × ∛270(ii) ∛121 × ∛297
Answer» (i) ∛100 × ∛270 As we know ∛a × ∛b = ∛(a×b) Now, ∛100 × ∛270 = ∛(100×270) = ∛ (2×2×5×5) × (2×3×3×3×5) = ∛(2³×3³×5³) = 2×3×5 = 30 (ii) ∛121 × ∛297 As we know ∛a × ∛b = ∛(a×b) Now, ∛121 × ∛297 = ∛ (121×297) = ∛ (11×11) × (3×3×3×11) = ∛(11³×3³) = 11×3 = 33

Answer»

(i) ∛100 × ∛270

As we know ∛a × ∛b = ∛(a×b)

Now,

∛100 × ∛270 = ∛(100×270)

= ∛ (2×2×5×5) × (2×3×3×3×5)

= ∛(2³×3³×5³)

= 2×3×5

= 30

(ii) ∛121 × ∛297

As we know ∛a × ∛b = ∛(a×b)

Now,

∛121 × ∛297 = ∛ (121×297)

= ∛ (11×11) × (3×3×3×11)

= ∛(11³×3³)

= 11×3

= 33

Discussion