Răspuns:
a) 2²×2³×2⁴×5²×5⁴ =
2 la puterea (2+3+4) × 5 la puterea ( 2+6) =
2⁹×5⁶= 2³×2⁶×5⁶ = 2³× (2×5)⁶ = 2³×10⁶ = 8×10⁶= 8.000.000
b) 2⁴×4⁴×125×25³ =
2⁴×2⁸×5³×5⁶=
2 la puterea (4+8) × 5 la puterea (3+6)=
2¹² × 5⁹ = 2³×2⁹×5⁹ = 2³× (2×5)⁹ = 2³×10⁹ =8×10⁹= 8.000.000.000
c) 2¹×2²×2³×3²×5⁶=
2×2²×2³×9×5⁶=
2¹×2la puterea(2+3)×9×5⁶=
2¹×2⁵×9×5⁶=
2 la puterea (1+5) ×9×5⁶=
2⁶×9×5⁶ = 9×(2×5)⁶ = 9×10⁶ = 9.000.000
d) 2¹×2²×2³×2⁴×5¹×5²×5³×5⁴÷10¹⁰ =
(2×2²×2³×2⁴×5×5²×5³×5⁴ ) /10¹⁰=
(2×2²×2³×2⁴×5×5²×5³×5⁴) /( 2¹⁰×5¹⁰) =
(2²×2³×2⁴×5²×5³×5⁴ ) / (2⁹×2⁹) =
(2³×2⁴×5³×5⁴ ) / ( 2⁷×5⁷) =
(2⁴×5⁴) / ( 2⁴×5⁴ ) = 1
* /= linie de fractie
e) 64×16×32×125×625×625×5÷10¹³ =
(8000×16×32×625²×5 ) / 10¹³ =
(128000×32×390625) /10¹³ =
(4096000×390625) /10¹³ =
(1.600.000.000.000×5 ) / 10¹³ =
8.000.000.000.000 / 10¹³ =
(8×10¹² ) /10¹³ =0,8
* /=linie de fractie
f) 8×16×128:4:32:64×3.125÷625=
25.000×16×128:4:32:64÷625=
400.000×128:4:32:64÷625=
51.200.000:4:32:64÷625=
12.800.000÷32÷64÷625=
400.000÷64÷625=
6250÷625=10
Sper ca te-am ajutat :)
