2.02 Algebra 2

1.While simplifying some math work, Peter wrote on his paper that x3 • x3 • x3 • x3 equaled x3+ 3 + 3 +3 . Did Peter simplify his work correctly and completely to a final answer? Would Peter’s work be the same if he were to simplify x3 + x3 + x3 + x3? Peter did not simplify his work. He should have added all of the exponents up but he failed to do that. To go further it would be 4x^3.

2. Simplify the given expression to rational exponent form, justify each step by identifying the properties of rational exponents used. All work must be shown. The -6 will become the numerator of the numerator of the rational exponent. 3 becomes the denominator. This equals 1/x to -5/^3.
3. Simplify the given expression to radical form, justify each step by identifying the properties of rational exponents used. All work must be shown. To get x^2/3 to have the same bottom as x^4/9 you have to multiply the top and the bottom by 3 and you will get 9. Now just subtract the top and get 2. You get x^2/9 in the end. So to change it to radical form 2 becomes the exponent and the denominator becomes the radical.
4. One of your friends sends you an email asking you to explain how all of the following expressions have the same answer.
5. Dear friend,
6. I am here to help you with your math problem. I love to help people! In the first problem the x is 27 and you that the root to get 3 because 3 times itself 3 times is 27. When you take 3 times it self 3 times. All of the exponents=1 so x times x is x. The third one is raised to -^1 is always divided by x and made ^1