Question

tính A=2^12.5^7+4^6.25^3/8^5.25^3+(2^2.5^6)^6

Answer 1

\(A=\dfrac{2^{12}\cdot5^7+4^6\cdot25^3}{8^5\cdot25^3+\left(2^2\cdot5^6\right)^6}\\ =\dfrac{2^{12}\cdot5^7+\left(2^2\right)^6\cdot\left(5^2\right)^3}{\left(2^3\right)^5\cdot\left(5^2\right)^3+\left(2^2\right)^6\cdot\left(5^6\right)^6}\\ =\dfrac{2^{12}\cdot5^7+2^{12}\cdot5^6}{2^{15}\cdot5^6+2^{12}\cdot5^{36}}\\ =\dfrac{2^{12}\cdot5^6\cdot\left(5+1\right)}{2^{12}\cdot5^6\cdot\left(2^3+5^{30}\right)}\\ =\dfrac{6}{8+5^{30}}\)