Question

已知8的n次方=5 4的m次方=7,求2的4m加6n的次方

Answer 1

解：8^n=2^3n=5，4^m=2^2m=7，
2^(4m+6n)=2^2(2m+3n)=(2^2m*2^3n)^2=(7*5)^2=35)^2=1225
^表示乘方，后边是几就是几次方
希望被采纳

Answer 2

8的n次方=5
所以
2的3n次方=5
2的6n次方=5的平方=25
4的m次方=7
2的2m次方=7
2的4m次方=49
2的4m加6n的次方
=2的4m次方×2的6n次方
=49×25
=1225

Answer 3

8的n次方=5
2^3n=5
4的m次方=7
2^2m=7
2^(4m+6n)
=2^2(2m+3n)
=[2^(2m+3n)]²
=(2^2m+2^3n)²
=（5+7）²
=12²
=144

Answer 4

8^n=5
(2^3)^n=5
2^3n=5

4^m=7
(2^2)^m=7
2^2m=7

2^(4m+6n)
=[2^(2m+3n)]^2
=[2^2m*2^3n]^2
=[5*7]^2
=35^2
=1225

Answer 5

2的4m+6n次方
=（2的2m次方）²·（2的2n次方）³
=4的2m次方·8的2n次方
=（4的m次方）²·（8的n次方）²
=7²·15²
=49·25
=1225