4/9×32/243=2/3^m explain step by step
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Answered by
1
Answer:
Step-by-step explanation:
4/9 * 32/243 = (2/3)ⁿ
=> 2²/3² * 2⁵/3⁵ = (2/3)ⁿ
=> 2²⁺⁵ / 3²⁺⁵ = (2/3)ⁿ (∵ xᵃ * xᵇ = xᵃ⁺ᵇ)
=> 2⁷/3⁷ = (2/3)ⁿ
=> (2/3)⁷ = (2/3)ⁿ
//When bases are same, powers are equal. Thus
n = 7.
Answered by
0
Answer:
m = 7
Step-by-step explanation:
4/9 × 32/243 = 2/3^m
=> (2/3)² × (2/3)⁵ = (2/3)^m
=> (2/3)⁷ = (2/3)^m
=> m = 7
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