Question

simplify the expression using the properties of exponents. expand any numerical portion of your answer and only include positive exponents.
\\(\frac{-12x^5}{-3x^3}\\)
answer

Explanation:

Step1: Simplify the coefficient

Divide the coefficient \(-12\) by \(-3\).
\(\frac{-12}{-3} = 4\)

Step2: Simplify the variable with exponents

Use the property of exponents \(\frac{x^m}{x^n}=x^{m - n}\) for \(x^5\) and \(x^3\).
\(\frac{x^5}{x^3}=x^{5 - 3}=x^2\)

Step3: Combine the results

Multiply the simplified coefficient and the simplified variable part.
\(4\times x^2 = 4x^2\)

Answer:

\(4x^2\)