Week 2 – PC 11 “Negative Exponents, Radicals with Fractions and Whole Number Coefficient’s”

At first, working with mixed radicals and setting up equations that included fractions in radicals felt really confusing, especially with negative exponents. I struggled to understand how to simplify the expressions and where the fractions fit in. It was frustrating at times because I wasn’t sure if I was doing the steps correctly, and the numbers didn’t always seem to work out the way I expected. But instead of giving up, I kept practicing in my workbook throughout the week, and little by little, things started to make sense.

I learned how to solve both whole numbers and fractions as coefficients of radicals, which helped me set up and solve equations better. I learned what to do when there is negative exponents and how to reciprocate when needed. I also got better at simplifying radicals and breaking them down into their simplest form. At first, I would make small mistakes, like forgetting to simplify a fraction or misplacing a coefficient, but by going over each step carefully, I started to catch those errors and understand the logic behind the process.

 

Evaluating fractional exponents: negative unit-fraction

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