已知5的x次方=2,5的y次方=3,求25的2x+y次方

来源:学生作业学帮网 编辑:学帮网 时间:2024/05/17 05:02:23

已知5的x次方=2,5的y次方=3,求25的2x+y次方

25的2x+y次方
=25^2x · 25^y
=(5^x)^4·(5^y)^2
=2^4·3^2
=16×9
=144

=(5^2)^2x×(5^2)^y
=(5^x)^4×(5^y)^2
=2^4×3^2
=144

5的x次方=2,5的y次方=3,
25的2x+y次方
=5^2(2x+y)
=5^(4x+2y)
=5^4x*5^2y
=(5^x)^4*(5^y)^2
=2^4*5^3
=2000

答案为144