Question

Chứng tỏ rằng 25⁶.8⁸=20¹²

Answer 1

\(VT:25^6\cdot8^8=\left(5^2\right)^6\cdot\left(2^3\right)^8\)

\(=5^{12}\cdot2^{32}\)

\(=5^{12}\cdot\left(2^2\right)^{12}\)

\(=5^{12}\cdot4^{12}\)

\(=\left(5\cdot4\right)^{12}\)

\(=20^{12}=VP\)

\(\Rightarrowđpcm\)

Answer 2

Ta có ^{\(25^6=\left(5^2\right)^6=5^{16}\)}

          \(8^8=\left(2^3\right)^8=2^{36}=\left(2^2\right)^{12}\)

       <=>    \(5^{12}.4^{12}=\left(5.4\right)^{12}=20^{12}\)

         Good Luck To You