Questions: Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only include positive exponents. x * x^(-6)

Solution Steps

Given the properties of exponents, when multiplying powers of the same base, we add the exponents. Thus, we combine \(a\) and \(b\) to get \(x^{a+b} = x^{-5}\).

Next, we apply the division of powers by subtracting \(c\) from the combined exponent of \(a\) and \(b\), resulting in \(x^{a+b-c} = x^{-5}\).

Since the final exponent is negative, we convert it to a positive exponent by moving it to the denominator, resulting in \(\frac{1}{x^{abs(final_exponent)}}\).

Final Answer: 1/x^5