Question

若2的x次幂=3,2的y次幂=5,求2的3x+2y+2次幂的值

Answer 1

2^x=3，2^y=5
2^(3x+2y+2)
=(2^x)^3×(2^y)^2×2^2
=3^3×5^2×4
=27×25×4
=2700

Answer 2

2*(3x+2y+2)=(2*x)*3乘以(2*y)2乘以2*2=27乘以25乘以4=2700

追问

还可以更详细点吗？我看不懂.

追答

2^x=3，2^y=5
2^(3x+2y+2)
=(2^x)^3×(2^y)^2×2^2
=3^3×5^2×4
=27×25×4
=2700 主要应用同底次幂的计算