Question

So sánh

32⁶⁰ và 81⁵⁰

Answer 1

32\(^{^{ }60}\)<81\(^{50}\)

Answer 2

32 mũ 60 > 81 mũ 50

Answer 3

ta có:\(32^{60}=\left(2^5\right)^{^{60}}=2^{5.60}=2^{300}=\left(2^3\right)^{^{100}}=8^{100}\)

và \(81^{50}=\left(3^4\right)^{^{50}}=3^{4.50}=3^{200}=\left(3^2\right)^{^{100}}=9^{100}\)

vì \(8^{100}< 9^{100}\)nên \(32^{60}< 81^{50}\).

Answer 4

32⁶⁰ = (32⁶)¹⁰ = 1,073,741,824¹⁰

81⁵⁰ = ( 81⁵)¹⁰ = 3,486,784,401¹⁰

Vì 3,486,784,401¹⁰ > 1,073,741,824¹⁰ nên 81⁵⁰ > 32⁶⁰