slove the following problems. simplify (5/2)⁵ ÷ (2/5)³
Answers
Answered by
0
Answer:
97.65625
Step-by-step explanation:
= (5/2)^2/(2/5)^3
= (2.5)^2/(2/5)^3
= 2.5^2/(2/5)^3
= 2.5^2/(0.4)^3
= 2.5^2/0.4^3
= 2.5^2/0.064
= 6.25/0.064
= 97.65625
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Answered by
1
Given : (5/2)⁵ ÷ (2/5)³
To Find : Simplify
Solution:
(5/2)⁵ ÷ (2/5)³
(a/b)ⁿ = aⁿ / bⁿ
= (5⁵ / 2⁵) ÷ (2³ / 5³)
= (5⁵ / 2⁵) × (5³ /2³)
xᵃ * xᵇ = xᵃ⁺ᵇ
= 5⁵⁺³ / 2⁵⁺³
= 5⁸/2⁸
= (5/2)⁸
= 3,90,625 / 256
= 1,525.87890625
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