Question

Calculati:
${2}^{4} + {2}^{3} \times [( {2}^{16}) ^{5} \div {2}^{77} + 2 \times {2}^{55} \div {2}^{53} ] \div {4}^{3}$
​

Answer 1

Răspuns:

Explicație pas cu pas:

2⁴+ 2³ x [ (2¹⁶)⁵ : 2⁷⁷ + 2 x 2⁵⁵ : 2⁵³ ] : 4³ = 18

= 16 + 2³ x ( 2¹⁶ˣ⁵⁻⁷⁷ + 2¹⁺⁵⁵⁻⁵³ ) : (2²)³ =

= 16 + 2³ x (2³ + 2³ ) : 2²ˣ³ =

= 16 + 2³ x [ 2³ ( 1 + 1 ) ] : 2⁶ =

= 16 + 2³ x (2³ x 2 ) : 2⁶ =

= 16 + 2³⁺⁴⁻⁶ =

= 16 + 2¹ =

= 18

Answer 2

Răspuns:

    $18$

Explicație pas cu pas:

    $2^{4}+2^{3}*[(2^{6})^{5}:2^{77}+2*2^{55}:2^{53}]:4^{3}$

    $16+8*(2^{80}:2^{77}+2*2^{55}:2^{53}):64$

    $16+8*(2^{3}+2*2^{2}):64$

    $16+8*(8+2*4):64$

    $16+8*16:64$

    $16+128:64$

    $16+2$ = $18$