Find the value of : 125^1 ÷ 25^2 * 5^4
Answers
Answered by
1
Answer:
125
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Answered by
0
Answer:
5⁻⁵
Step-by-step explanation:
125 = 5 * 5 * 5 = 5³
(125)¹ = (5³)¹ = 5³ˣ¹ = 5³
25 = 5 * 5 = 5²
(25)² = (5²)² = 5²ˣ² = 5⁴
So, 125¹ ÷ 25² * 5⁴ can be written as
5³ ÷ 5⁴ * 5⁴
= 5³ ÷ 5⁴⁺⁴
= 5³ ÷ 5⁸
= 5³⁻⁸
= 5⁻⁵
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