Question

Find the value of : 125^1 ÷ 25^2 * 5^4​

Answer 1

Answer:

125

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Answer 2

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