Question

已知a的m次方=2，a的n次方=5，a的p次方=-2，求a的5m+2n-3p的值

Answer 1

a^(5m+2n-3p) =a^5m*a^2n÷a^3p =(a^m)^5*(a^n)^2÷(a^p)^3 =2^5*5^2÷(-2)^3 =-2^5*5^2÷2^3 =-2^(5-3)*5^2 =-2^2*25 =-4*25 =-100