Question

Efectuati (0,4)^7:(0,7)^4

Answer 1

(0,4)^7 : (0,7)^4 =
= ( 4/10 )^7 : ( 7/10 )^4 =
= 4^7/10^7 : 7^4/10^4 =
= 4^7/10^7 × 10^4/7^4 =
= 2^7/5^7 × 2^4×5^4/7^4 =
= 2^7/5^3 × 2^4/7^4 =
= 2^7/125 × 2^4/7^4 =
= 2^11/125 × 7^4 =
= 2048/125 × 2401 =
= 2048/300125

Nu am gasit alta metoda, insa nu sunt sigur 100% ca aceasta e corecta. Bafta!

Answer 2

$(0,4)^7:(0,7)^4= \\ \\ \Big(\frac{4}{10}\Big)\Up^7:\Big(\frac{7}{10}\Big)\Up^4= \\ \\ \frac{4^7}{10^7}:\frac{7^4}{10^4}= \\ \\ \frac{4^7}{10^7}\cdot\frac{10^4}{7^4}= \\ \\ \frac{4^7}{10^3\cdot7^4}= \\ \\ \frac{2^{14}}{2^3\cdot5^3\cdot7^4}= \\ \\ \frac{2^{11}}{5^3\cdot7^4}= \\ \\ \frac{2048}{300125}$