Question

3⁵-[(2³⁴×3³²×5¹⁸)×(2²×3⁸×5²):(2⁸×3¹⁰×5⁵)⁴]:2³​

Answer 1

Răspuns:

241

Explicație pas cu pas:

3⁵- [(2³⁴ × 3³² × 5¹⁸) × (2² × 3⁸ × 5²) : (2⁸ × 3¹⁰ × 5⁵)⁴] : 2³

$= 3^{5} - (2^{34+2} * 3^{32+8} *5^{18+2} ) : (2^{8*4} *3^{10*4} *5^{5*4} ):2^{3}$

$= 3^{5} - (2^{36} *3^{40} * 5^{20} ) : (2^{32} *3^{40} *5^{20} ) : 2^{3}$

$= 3^{5} - (2^{36-32} *3^{40-40} * 5^{20-20} ): 2^{3}$

$= 3^{5} - (2^{4} *1*1) : 2^{3}$

$= 3^{5} - 2^{4-3}$

= 243 - 2

= 241