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Explanation of mathematical calculation problems
(1) (X-Y)(X-Y) to the fourth power (Y-X) to the fifth power.

=(x-y)^5*(-(x-y)^5)

=-(x-y)^ 10

(2) 20 10 to the (-2) power

(-2)^20 10+(-2)^20 1 1

= (-2)^20 10+(-2)(-2)^20 10

=-2^20 10

Because two numbers add up, they represent coefficients.

(3) One eighth of the power of 2011and the eighth power of 2012.

( 1/8)^20 1 1*8^20 12

=8^(-20 1 1)*8^20 12

=8

Because when two numbers are multiplied, they become the same radix, and then the exponents can be added.