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Given that the mth power of 3 is equal to 5, the nth power of 3 is equal to 2, find the value of 2m+3nth power of 3
According to the operation property of power, the 2m+3nth power of 3 is equal to the product of the 2mth power of 3 and the 3nth power of 3, the 2mth power of 3 is equal to the square of the mth power of 3, i.e. the square of 5,25. Similarly, the 3nth power of 3 is 8 200.
According to the operation property of power, the 2m+3nth power of 3 is equal to the product of the 2mth power of 3 and the 3nth power of 3, the 2mth power of 3 is equal to the square of the mth power of 3, i.e. the square of 5,25.
According to the operation property of power, the 2m+3nth power of 3 is equal to the product of the 2mth power of 3 and the 3nth power of 3, the 2mth power of 3 is equal to the square of the mth power of 3, i.e. the square of 5,25. Similarly, the 3nth power of 3 is 8, so the final result is 200.
Given mth power of a=3, nth power of a=2, find the value of 2m-3nth power of a..
A^2m-3n
= A^2m÷a^3n
=(A^m)2÷(a^n)3
=3²÷2³
=9÷8
=9/8
RELATED INFORMATIONS
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