Basic Derivatives - Negative Fractional Power with Coefficient as Radical (with Rule) to Rewrite

This topic is focused on practicing the skill of rewriting functions involving radicals and fractional exponents as equivalent expressions using negative fractional powers. The topic emphasizes simplifying mathematical expressions with coefficients expressed as radicals, converting them into single powers of a variable, typically 'x'. This skill is fundamental in calculus, specifically in the computation of derivatives for more complex algebraic functions involving powers and roots. Each problem requires the application of rules for radicals and exponents to simplify the function into a more standardized form.