5² × a^10=b² × 5^8=5^12 则a=____;b=____.
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![5² × a^10=b² × 5^8=5^12 则a=____;b=____.](/uploads/image/z/1689163-43-3.jpg?t=5%26%23178%3B+%C3%97+a%5E10%3Db%26%23178%3B+%C3%97+5%5E8%3D5%5E12+%E5%88%99a%3D____%EF%BC%9Bb%3D____.)
5² × a^10=b² × 5^8=5^12 则a=____;b=____.
5² × a^10=b² × 5^8=5^12 则a=____;b=____.
5² × a^10=b² × 5^8=5^12 则a=____;b=____.
5² × a^10=b² × 5^8=5^12
5²× a^10=5^12
5²× a^10=5^2× 5^10
a^10=5^10
a^10/5^10=1
(a/5)^10=1
a=±5
b² × 5^8=5^12
b² × 5^8=5^4× 5^8
b² =5^4
b² =(5^2)^2
b² =25^2
b=±25
b=25 a=5
5² × a^10=b² × 5^8=5^12 则a=5;b=25。