According to the product rule for exponents, when you multiply two terms with the same base, you add their exponents together. Therefore, x^5 * x^2 is equal to x^(5+2), which simplifies to x^7.

When multiplying terms with the same base, you add the exponents according to the product rule. Here, the base is 2, so 2^3 * 2^4 becomes 2^(3+4), which equals 2^7.

For a number to be divisible by 11, the difference between the sum of digits at odd places and the sum of digits at even places must be 0 or a multiple of 11.

**Method 1: Using Algebra**

For the number $987x54$ to be divisible by 6, it must be divisible by both 2 and 3.

The divisibility rule for 9 is that the sum of the digits must be divisible by 9.

Let's count the occurrences of the digit '3' in each place value from 301 to 399.

The divisibility rule for 9 is that the sum of the digits must be divisible by 9.

Let's factorize the given expression, $n^3 - n$.

**Step 1:** Let the two-digit number be $10x + y$.