Simplify the expression. Assume all variables represent

nonzero real numbers.

-10b^5c^9/2b^5c^3

sorry I had posted in wrong session.

Thanks I found it.

To simplify the expression -10b^5c^9 / 2b^5c^3, you can use the rules of exponents. The rule states that when dividing variables with the same base, you subtract the exponents.

Let's break down the expression step by step:

Step 1: Divide the coefficients. In this case, -10 divided by 2 equals -5.

-5 * (b^5 / b^5) * (c^9 / c^3)

Step 2: Simplify the first variable, b^5 / b^5. According to the rule of exponents, the exponents will cancel out, resulting in 1.

-5 * 1 * (c^9 / c^3)

Step 3: Simplify the second variable, c^9 / c^3. Similarly, subtracting the exponents gives:

-5 * 1 * c^(9-3)

Step 4: Add the exponents: 9 - 3 equals 6.

-5c^6

Therefore, the simplified expression is -5c^6.