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次方的值

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