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.