A n, I use 0 here to represent the n power of a.

In the power a n, where a is called the base, n is called the exponent, and the result is called the power. Read "rice".

2 3 = 8 means the multiplication of three twos, and a n means the multiplication of N a.. This is a basic operation.

(2 3) 2 = 2 (3 * 2) = 2 6 = 64, which is the cubic quadratic of 2.

Formula 1. (a n) m = a (n * m)

We often use the power of multiplication and division, which basically does not add or subtract. The most you can do is multiply and divide with the same radix or exponent.

Same cardinal number

Equation 2. A n * a m = a (n+m) times the base, plus the exponent with the same base.

Equation 3. A n/a m = a (n-m) divided by the base, minus the exponent of the same base.

Same index

Equation 4. A n */b n = (ab) n times the index, the index is constant and the base is multiple.

Equation 5. A n/b n = (a/b) n divided by the exponent, the exponent remains unchanged and the radix is divided.

The above formula is often used backwards.

And the application of your formal formula in this problem.

First look at the demand, a (2m-3n) = a 2m/a 3n Here is the reverse application of Formula 2.

Molecular a 2m = (a m) 2 This is the reverse application of the formula 1

And m = 3, so a^2m= 3^2=9 = 9 = 9.

In the same way, 3n = 8 can be obtained.

So a (2m-3n) = 9//8.