Given that the m-th power of a is 2, the n-th power of a is 5, and the p-th power of a is - 2, find the value of 5m + 2n-3p power of A

Given that the m-th power of a is 2, the n-th power of a is 5, and the p-th power of a is - 2, find the value of 5m + 2n-3p power of A

a^(5m+2n-3p)
=a^5m*a^2n÷a^3p
=(a^m)^5*(a^n)^2÷(a^p)^3
=2^5*5^2÷(-2)^3
=-2^5*5^2÷2^3
=-2^(5-3)*5^2
=-2^2*25
=-4*25
=-100

(1) given the nth power of x = 3, what is the 2n power of X equal to? (2) given the m power of 10 = 4, the n power of 10 = 3, find the M + n of 10

(1) Is 9 (2) 12 (3) a picture? Can it be written in words? If you don't understand the above two questions, you can ask!

Given that the m power of a is 8, and the n power of a is 4, please find the value of 3m-2n power of A

A ^ m = 8 A ^ n = 4 A ^ 3M = (a ^ m) ^ 3 = 8 ^ 3 = 512 a ^ 2n = (a ^ n) ^ 2 = 4 ^ 2 = 16 A's 3m-2n power = a ^ 3m / A ^ 2n = 32

The result of calculating 1-N power of 3 × (- 1 / 27) × 2-N power of 3 is

1 / 81, you raise the negative sign of the following formula to 3, which is the 2-N power of 1 / 27 × (- 3), and then change the form of the power. The 2-N power of (- 3) is equal to the N-2 power of 3, and then the power of base 3 can be added, which is 1-N + (n-2) = - 1. I believe you will understand at this step. If you don't understand, just ask me. I can write more clearly