This week in Pre calc 11 I learned how exponents are radicals in disguise. I was familiar with exponents and exponent laws from past math years, but when exploring radicals this year, I learned how exponents and radicals have so much in common. This is an important skill because it was difficult to imagine radicals and work with them in my head but now that I have exponents to help me, it has become way easier to work with radicals. to understand this topic, it is important to remember the exponent laws:

Now that we have recalled the exponent laws we can get into radicals. If we have an example like 4^1/2, we can recognize that the fraction is really 0.5.

what will happen if we put the calculation in the calculator

now isnt 2 the square root of 4? so with this we can conclude that 2 which is the denominator is the root, and 1 which is the numerator is the power of that number

With the knowledge that we have right now with exponents and radicals, we can apply exponent laws ro radical problems and solve them without the need of a calculator.  Remember that the even though we are working with radicals the SAME exponent laws apply  to the problem.