Question

125 ^ 101 :{ 3 * (5 ^ 10 * 5 ^ 15) ^ 12 + (25 ^ 7 * 5 ^ 4) ^ 30 + [(5 ^ 2 * 5 ^ 3)^ 10]^ 6
Urgent va rog
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Answer 1

Răspuns:

= 5³(4 + 5²⁴⁰)

Explicație pas cu pas:

125¹⁰¹ :{ 3 * (5¹⁰ * 5¹⁵)¹² + (25⁷ * 5⁴)³⁰ + [(5² * 5³)¹⁰]⁶}

= 125¹⁰¹ :{ 3 * (5¹⁰⁺¹⁵)¹² + [(5²)⁷ * 5⁴)³⁰] + [(5²⁺³)¹⁰]⁶}

= 125¹⁰¹ :{ 3 * (5²⁵)¹² + (5¹⁴ * 5⁴)³⁰ + [(5⁵)¹⁰]⁶}

= (5³)¹⁰¹ :[3 * 5³⁰⁰ + (5¹⁸)³⁰ + (5⁵⁰)⁶]

= 5³⁰³ :(3 * 5³⁰⁰ + 5⁵⁴⁰ + 5³⁰⁰)

= 5³⁰³ : 5³⁰⁰(3 + 5²⁴⁰ + 1)

= 5³⁰³⁻³⁰⁰(4 + 5²⁴⁰)

= 5³(4 + 5²⁴⁰)