Question

1.154 алгебра 7 класс,заранее благодарна ​

Answer 1

Пошаговое объяснение:

а) (-2)`¹²:4`⁶=2`¹²:(2²)`⁶=2`¹²:2`¹²=2⁰=1

б) (16×2`³)²=(2⁴×2`³)²=(2¹)²=2²=4

в) (-3 1/6)`⁵×(6/19)`⁴=(-19/6)`⁵×(6/19)`⁴=

= (-19/6)`⁵:1/(6/19)⁴= - (19/6)`⁵×(19/6)⁴=

= -(19/6)`¹= -1:(19/6)= -1×6/19= -6/19

г) (-10`³)`²:0,1`³=10⁶:(1/10)`³=10⁶:1/(1/10)³=

=10⁶:1/1/10³=10⁶:10³=10³=1000

д) (-1 7/9)`⁸×((0,75)`³)⁵=(-16/9)`⁸×((3/4)`³)⁵=

=((-4/3)²)`⁸×(3/4)`¹⁵=(-4/3)`¹⁶×(1/(3/4)¹⁵)=

=(4/3)`¹⁶×(4/3)¹⁵=(4/3)`¹=1:(4/3)¹=1×3/4=3/4=0,75

е) 125`³:((-1/5)`⁴)`²=(5³)`³:(1/5)⁸=5`⁹:(1/5)⁸=

=(1/5)⁹:(1/5)⁸=(1/5)¹=1/5=0,2

ж) (7`⁷×(-49`⁴))/7`¹³= -(7`⁷×((7²)`⁴))/7`¹³=

= -(7`⁷×7`⁸)/7`¹³= -7`¹⁵/7`¹³= -7`²= -1/7²= -1/49

з) (-6)`⁴ /(2`³×3`⁴)=6`⁴/(2`³×3`⁴)=

(2×3)`⁴/(2`³×3`⁴)=(2`⁴×3`⁴)/(2`³×3`⁴)=

=2`¹×3⁰=1/2×1=1/2=0,5