Math Blog Week 4

In my math course this week we learned more about rational exponents and evaluating negative and fractional exponents in equations as well as the negative exponent and fractional exponent laws.

For the equation first we use the power law to multiply all the exponents in the numerator by two because we have brackets,  making the equation we can reduce to simplify it into the fractional exponent law states that an exponent with a fraction as the exponent is the same as a radical rooted by the denominator to the power of the numerator, this exponent is equal to which is equal to 5 making the equation using the negative exponent law means that any numbers or variables with a negative exponent are either turned into a denominator or numerator depending on their origin point making the equation finally we use the division law on anything that can be reduced with is only the 5’s in this equationgiving us the final answer of

It was a good thing we learned about radicals beforehand otherwise the fractional exponents would have been much harder, and we wouldn’t be able to translate them into radicals as easily.