Simplify and give reasons. ((5^2)^3×5^4)÷5^6
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((5^2)^3×5^4)÷5^6
((5)^2×3×5^4)/5^6 (therefore (a^m)^n/a^mn)
=5^6×5^4/5^6(therefore a^m×a^n=a^m+n)
5^6+4/5^6=5^10/5^6=5^10-6 (therefore a^m/a^n=a^mn)
=5^4=625 (therefore 5^4=5×5×5×5)
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