Question

27.Efectuati:
a). [2¹² * (-4)⁵ * (-8)²]² : (4³)⁹
b). [9² * (-3)⁵ : 27]² : (-81)³
DAU COROANA

Answer 1

Răspuns:

Ti am atașat o poza cu exercitiile. Succes!!

Answer 2

Explicație pas cu pas:

a) [2¹²*(-4)⁵*(-8)²]²:(4³)⁹=

=[2¹²*(-2²)⁵*(-2³)²]²:4²⁷=

=[2¹²*(-2)¹⁰*(-2)⁶]²:(2²)²⁷ =

[2¹²*(-2)¹⁰*(-2)⁶]²:2⁵⁴ =

$({2}^{12 + 10 + 6} ) ^{2} \div {2}^{54}$

(2²⁸)²:2⁵⁴=

25⁵⁶:2⁵⁴=

${2}^{56 - 54}$

=2²=4

b)[9²*(-3)⁵:27]²:(-81)³

[(3²)²*(-3)⁵:3³]²:(-3⁴)³=

[3⁴*(-3)⁵:3²]²:(-3)¹²=

$(- {3}^{4 + 5} \div {3}^{2} ) ^{2} \div ( - 13) ^{12}$

(-3⁹:3²)²:(-13)¹²=

$({ - 3}^{9 - 2} ) ^{2} \div ( - {13}^{12} )$

(-3⁷)²:(-13)¹²=

-3¹⁴:(-3)¹²=

${3}^{14 - 12}$

=3²=9