A power of 5 out of 2 in 2007 times a power of 2 out of 5 in 2008 equals

A power of 5 out of 2 in 2007 times a power of 2 out of 5 in 2008 equals

5/2Th power in 2007 multiplied by 2/5th power in 2008
=5 Of 2 to the 2007 power multiplied by minus 2 of 5 to the 2007 power multiplied by minus 2 of 5
=[(5/2)*(-2/5)]^2007*(-2/5)
=(-1)^2007*(-2/5)
=2/5

5/2Th power for 2007, minus 2/5th power for 2008
=5 Of 2 to the 2007 power multiplied by minus 2 of 5 to the 2007 power multiplied by minus 2 of 5
=[(5/2)*(-2/5)]^2007*(-2/5)
=(-1)^2007*(-2/5)
=2/5

What is the 2007 power of minus 2× the 2008 power of 0.5?

(-2)^2007*(0.5)^2008
=-(2)^2007*(2)^(-2008)
=-(2)^(2007-2008)
=-(2)^(-1)
=-0.5