Question

Rút gọn phân số sau:

\(\dfrac{7.5^9.9^5}{15^{10}}\)

Answer 1

b) \(\dfrac{7.12^3+64.27}{4^6.3^4}\)

Answer 2

a) \(\dfrac{7.5^9.\left(3^2\right)^5}{15^{10}}\)=\(\dfrac{7.5^9.3^{10}}{15^{10}}\)=\(\dfrac{7.5^9.3^9.3}{15^{10}}\)=\(\dfrac{7.15^9.3}{15^{10}}\)\(\dfrac{7.3}{15}=\dfrac{7}{5}\)

Answer 3

\(\dfrac{7.\left(4.3\right)^3+4^3.3^3}{4^6.3^4}\)=\(\dfrac{4^3.3^3\left(7+1\right)}{4^6.3^4}=\dfrac{4^3.3^3.2^3}{4^6.3^4}\)=\(\dfrac{2^3}{4^3.3^1}=\dfrac{2^3}{2^3.2^3.3}=\dfrac{1}{2^3.3}=\dfrac{1}{24}\)