已知2x+5y-3=0,则4^x×32^y的值为_________.

问题描述:

已知2x+5y-3=0,则4^x×32^y的值为_________.

4等于2的平方,32等于2的5次方。结果8.

4^x×32^y
=(2^2)^x*(2^5)^y
=2^(2x)*2^(5y)
=2^(2x+5y)
=2^3
=8

4=2^2,则,4^x=2^2x,32^y=2^5y,故4^x×32^y=2^2x+5y=2^3=8

2x+5y-3=0
2x+5y=3
4^x×32^y
=2^2x×2^5y
=2^(2x+5y)
=2^3
=8

因为2x+5y-3=0,
所以
2x+5y=3,

4^x×32^y
=2^(2x)×2^(5y)
=2^(2x+5y)
=2^3
=8