a^2q=2,(1)a^3q^9=64 (2)由题,a、q≠0(2)/(1) aq^8=32=2^5 (3)(3)两边平方 a^2q^16=2^10 (4)(4)/(1) q^15=2^9q=2^(9/15)=2^(3/5)代入(1) a^2*2^(3/5)=2a^2=2^(1-3/5)=2^(2/5)所以 a=±2^(1/5)q=2^(3/5)