Rules of Exponents

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

Simplify each of the following: x cubed x to the fourth, x to the twelfth x to the fifteenth, y times y to the 24th, and a squared a cubed a to the fourthSimplify each of the following: x cubed x to the fourth, x to the twelfth x to the fifteenth, y times y to the 24th, and a squared a cubed a to the fourth
Simplify each of the following: left paren x cubed right paren to the fourth, left paren x to the fifth right paren to the tenth, left paren y to the thirtieth right paren to the fiftieth, and left paren b to the 90 eighth right paren squared
Simplify each of the following: left paren x y right paren to the fourth, left paren 2x right paren to the fifth, left paren 5y right paren to the 100th, and left paren a b c right paren to the 9th
Simplify each of the following: left paren 3x y squared right paren left paren negative 2x squared y to the fifth right paren, and left paren 3x y squared right paren left paren negative 2x squared y to the fifth right paren cubed
Simplify each of the following: left paren n squared right paren to the fourth, negative 3 left paren n squared right paren to the fourth, negative left paren 3 n squared right paren to the fourth, and left paren negative 3 n squared right paren to the fourth
Simplify each of the following: x to the fifth over x squared, x to the hundredth over x to the tenth, y to the thirtieth over y, and z to the one hundredth over z to the ninety ninth
Simplify each of the following: left paren x over y right paren to the fourth, left paren z over to right paren to the fourth, left paren z over 2 right paren to the thousandth, and left paren a over negative 2 right paren to the fifth
Simplify each of the following: the fraction with numerator 25a to the fourth b to the fifth and denominator 15a squared b cubed, the fraction with numerator left paren 3x y squared right paren cubed and denominator 6x squared y squared, and left paren a cubed over 2b right paren cubed