Question

Calculează rapid . Scrie rezultatul obținut că număr natural

$64 \times 16 \times 32 \times 125 \times 125 \times 625 \times 625 \times 5 \div {10}^{13}$

Answer 1

32768 x 15625 x 390625 x 5 : 1000 = 512000000 x 1953125 : 10000000000000 = 1000000000000000 : 10000000000000= 100

Answer 2

64x16x32x125x125x625x625x5:10¹³ = 2⁶x2⁴x2⁵x 5³x5³x5⁴x5⁴x5¹ : 10¹³ =

2⁶⁺⁴⁺⁵x5³⁺⁺³⁺⁴⁺⁴⁺¹:10¹³

= 2¹⁵x5¹⁵:10¹³ = (2x5)¹⁵:10¹³ = 10¹⁵:10¹³ = 10² = 100