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?$=(a - b)^6÷[-(a - b)^3]$?
?$ =-(a - b)^{6 - 3}$?
?$ =-(a - b)^3$?
?$=x^8÷ x^{7 - 6}$?
?$ =x^8÷x$?
?$ =x^{8 - 1}$?
?$ =x^7$?
?$ =b^{6n}·b^{12n}÷ b^{5n}$?
?$ =b^{6n + 12n - 5n}$?
?$ =b^{13n}$?
?$=5^{n}×(5^2)^{n - 1}÷5^{2n + 1}$?
?$ =5^{n}×5^{2n - 2}÷5^{2n + 1}$?
?$ =5^{n + 2n - 2 - (2n + 1)}$?
?$ =5^{n - 3}$?
?$=(x - y)^{10}÷[-(x - y)^5]÷(x - y)$?
?$ =-(x - y)^{10 - 5 - 1}$?
?$ =-(x - y)^4$?
?$=(m - n)^4÷(m - n)^3+(m + n)^3÷(m + n)^2$?
?$ =(m - n)^{4 - 3}+(m+n)^{3-2}$?
?$ =(m - n)+(m+n)$?
?$ =2m$?
解：?$(1)$?∵?$2^{a}=2，$??$2^=4，$??$2^{c}=8$?
∴?$2^{a + c}=2^{a}·2^{c}=2×8 = 16$?
?$ 2^{2b}=(2^)^2=4^2=16$?
∴?$2^{a + c}=2^{2b}$?
∴?$a + c = 2b$?
?$ (2)2^{a - b + 2c}=2^{a}÷2^·(2^{c})^2=2÷4×8^2=32$?
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