Questions: Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only include positive exponents. 4 x^-3 y^3

Solution Steps

To simplify the expression \( 4 x^{-3} y^{3} \) using the properties of exponents, we need to rewrite the expression so that all exponents are positive. This involves moving the term with the negative exponent to the denominator.

We start with the given expression: \[ 4 x^{-3} y^{3} \]

To simplify the expression, we use the property of exponents that states \(a^{-n} = \frac{1}{a^n}\). This allows us to rewrite the term with the negative exponent: \[ 4 x^{-3} y^{3} = 4 \cdot \frac{y^3}{x^3} \]

Combine the terms to get the simplified expression: \[ 4 \cdot \frac{y^3}{x^3} = \frac{4 y^3}{x^3} \]

Final Answer