Question

[Vũ Nga]

a.\(\frac{7^3\times5^8}{49\times25^4}\)

b.\(\frac{3^9\times25\times5^3}{15\times625\times3^8}\)

c.\(\frac{2^{50}\times3^{61}+2^{90}\times3^{16}}{2^{51}\times3^{61}+2^{91}\times3^{16}}\)

d.\((\frac{2}{5}-\frac{1}{2})^2+(\frac{1}{2}+\frac{3}{5})^2\)

Answer 1

[Vũ Nga]

mọi người giúp mình nha

Answer 2

[Ngô Chi Lan]

a) \(\frac{7^3.5^8}{49.25^4}=\frac{7^3.5^8}{7^2.5^8}=7\)

b) \(\frac{3^9.25.5^3}{15.625.3^8}=\frac{3^9.5^2.5^3}{3.5.5^4.3^8}=\frac{3^9.5^5}{3^9.5^5}=1\)

c) \(\frac{2^{50}.3^{61}+2^{90}.3^{16}}{2^{51}.3^{61}+2^{91}.3^{16}}=\frac{2^{50}.3^{16}\left(3^{45}+2^{40}\right)}{2^{51}.3^{16}\left(3^{45}+2^{40}\right)}=\frac{1}{2}\)

d) \(\left(\frac{2}{5}-\frac{1}{2}\right)^2+\left(\frac{1}{2}+\frac{3}{5}\right)^2\)

\(=\left(\frac{-1}{10}\right)^2+\left(\frac{11}{10}\right)^2\)

\(=\frac{1}{100}+\frac{121}{100}=\frac{122}{100}=\frac{61}{50}\)