令原式=a
lga=lg7^lg20+lg(1/2)^lg0.7
=lg20*lg7+lg0.7*lg(1/2)
=lg20*lg7-lg0.7*lg2
=(lg2+lg10)*lg7-(lg7-lg10)*lg2
=lg2*lg7+lg10*lg7-lg7*lg2+lg10*lg2
=lg7+lg2
=lg14
所以原式=14
令原式=a
lga=lg7^lg20+lg(1/2)^lg0.7
=lg20*lg7+lg0.7*lg(1/2)
=lg20*lg7-lg0.7*lg2
=(lg2+lg10)*lg7-(lg7-lg10)*lg2
=lg2*lg7+lg10*lg7-lg7*lg2+lg10*lg2
=lg7+lg2
=lg14
所以原式=14