Question

Simplificati fracțiile:.a) 25×54 supra 32×75
b)2⁵×5³×7⁴ supra 2⁴×5²×7⁵
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Answer 1

Răspuns:

Ai raspunsul in atasament sper sa fie totul ok o seara buna!

Answer 2

Răspuns:

Explicație pas cu pas:

a)   / = linie de fracție

(25×54)/(32×75) = (25/75)⁽²⁵ × (54/32)⁽² = (1/3)×(27/16) = 9/16

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b) (2⁵×5³×7⁴) / (2⁴×5²×7⁵) = (2⁵/2⁴)×(5³/5²)×(7⁴/7⁵) = 2¹×5¹×(1/7) = 10/7

2⁵/2⁴ = 2⁽⁵⁻⁴⁾ = 2¹

5³/5² = 5⁽³⁻²⁾ = 5¹

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c)

( 3ⁿx5ⁿ⁺² + 3ⁿ⁺²x5ⁿ ) / ( 3ⁿ⁺²x5ⁿ+3ⁿx5ⁿ⁺¹) =

= (3ⁿx5ⁿx5² + 3ⁿx3²x5ⁿ ) / (3ⁿx3²x5ⁿ + 3ⁿx5ⁿx5¹ ) =

= (3x5)ⁿx(5²+3²) / (3x5)ⁿx(3²+5¹) =

= 15ⁿx(25+9)/15ⁿx(9+5) =

= (34/14)⁽² =

= 17/7