Question

Calculati: a) [7 la 2 + (2 × 5 la 4 :10- 3 la 4): 2 la 2 ] : 2 la 2=​

Answer 1

$( {7}^{2} + (2 \times 5 {}^{4} \div 10 - 3 {}^{4} ) \div {2}^{2} ) \div {2}^{2}$

$(49 + ( \frac{2 \times 5 {}^{4} }{10} - 81) \div 2 {}^{2} ) \times \frac{1}{ {2}^{2} }$

$(49 + ( \frac{5 {}^{4} }{5} ) - 81) \div 2 {}^{2} ) \times \frac{1}{4}$

$(49 + ( {5}^{3} - 81) \div {2}^{2} ) \times \frac{1}{4}$

$(49 + \frac{ {5}^{3} - 81}{4} ) \times \frac{1}{4}$

$\frac{196 + {5}^{3} - 81 }{4} \times \frac{1}{4}$

$\frac{115 + {5}^{3} }{4} \times \frac{1}{4}$

$\frac{115 + 5 {}^{3} }{16}$

$\frac{115 + 125}{16}$

$\frac{240}{16}$

simplifici fractia

$15$

Answer 2

Răspuns:

Explicație pas cu pas:

a)

[ 7² + ( 2 x 5⁴ : 10 - 3⁴ ) : 2²] : 2² = 15

= [ 49 + ( 2 x 625 : 10 - 81 ) : 4 ] : 4 =

= [ 49 + ( 1250 : 10 - 81 ) : 4 ] : 4 =

= [ 49 + ( 125 - 81 ) : 4] : 4 =

= ( 49 + 44 : 4) : 4 =

= ( 49 + 11 ) : 4 =

= 60 : 4 =

= 15