Question

simplify:3⁵×10⁵×25/5⁷×6⁵ ​

Answer 1

Answer:

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Answer 2

Given:

(3⁵×10⁵×25) / (5⁷×6⁵)

To Find:

Simplify expression.

Solution:

As given,

⇒ (3⁵ × 10⁵ × 25 ) / ( 5⁷× 6⁵ )  

 

         { a × b }ⁿ = aⁿ × bⁿ

⇒ (3⁵ × ( 2 × 5 )⁵ × 5²) / (5⁷× ( 2 × 3 )⁵)

⇒ (3⁵× 2⁵ × 5² × 5²) / (5⁷ × 2⁵ × 3⁵)

⇒  (3⁵× 2⁵ × 5⁴) / (5⁷ × 2⁵ × 3⁵)

⇒ (3⁵/3⁵) × (2⁵/2⁵) × (5⁴/ 5⁷)

⇒ 1/5³

⇒ 5⁻³

⇒ 1/125

Hence, the answer is 1/125.