Question

упростите выражение:2^4•(6^2)^3 / (2^2•3)^5

Answer 1

2^4 * 6^6 / 2^10 *3^5

Answer 2

2⁴*(6²)³/(2²*3)⁵=2⁴*(2²*3²)³/(2⁽²*⁵⁾*3⁵)=2⁴*2⁽²*³⁾*3⁽²*³)/(2¹⁰*3⁵)=
=2⁴*2⁶*3⁶/(2¹⁰*3⁵)=2¹⁰*3⁶/(2¹⁰*3⁵)=3¹=3.