Sal solves a complex determinant problem from the 2010 IIT entrance test. Knowledge of determinants, the exponential form of complex numbers, trigonometric ratios, and algebraic thinking are all utilized here.

This video gives an excellent overview of the different representations of a complex number. First, Sal reviews a pictorial representation of a complex number as an Argand diagram, then shows how to find the modulus and the argument of a...

This video shows how to convert an equation in natural logarithmic form to exponential form in base e. The instructor reviews the definition of logarithms before completing an example.

So you have a given number in expanded form where you have to multiply that same number several times. Make it a little easier for yourself and write it in exponential form. As long as the number has the same base being multiplied you...

Identify the base, identify the exponent, write out the base the number of times indicated by the exponent. Then multiply the base as written out in expanded form. Finally simplify your answer and you will have just evaluated an exponent.

Factor a binomial using the sum of cubes method. The strategy here is to rewrite each of the expressions in the binomial as a term cubed. That's just two steps. Ok. Wait! There is a formula that is used to finish factoring the binomial....

So you have a given number in expanded form where you have to multiply that same number several times. Make it a little easier for yourself and write it in exponential form. As long as the number has the same base being multiplied you...

Identify the base, identify the exponent, write out the base the number of times indicated by the exponent. Then multiply the base as written out in expanded form. Finally simplify your answer and you will have just evaluated an exponent.

In this algebra worksheet, students convert equations from logarithmic form to exponential form and do the reverse conversion. There are ten questions.

Converting between logarithmic form and exponential form is an important skill in solving problems involving exponents. This video shows how to convert an equation in logarithmic form to exponential form. The instructor reviews the...

An example of taking an equation written in exponential form and writing it to logarithmic form is explored in this video.

Consumers explore scientific notation as it relates to the real world. In this algebra lesson, mathematicians convert Gigabytes in to scientific notation to see if they are being cheated. They differentiate between base ten and base of...

In this exponents activity, 8th graders re-write nine multiplication problems in exponent form. There is an answer sheet included.

In this exponents instructional activity, 8th graders solve 16 various types of problems from writing patterns in exponential form to word problems that determine how much greater mass is and how much money was received. They simplify...

In this exponent worksheet, students solve ten multiple-choice questions regarding simplifying with exponents.  Solutions are provided.

In this radicals and rational exponents worksheet, 9th graders solve and complete 32 various types of problems. First, they write each expression in radical form. Then, students write each expression in exponential form. In addition,...

Students practice exponential form. In this exponential form lesson, students watch a video clip about repeated multiplication. Students play a game using exponential form and complete a worksheet. Students finish with two assessment...

In this writing exponents worksheet, 9th graders solve 10 different problems that include writing various types of exponents. They write each set of numbers in exponential form. Then, students list the base and whole number to the...

For this logarithmic and exponential form worksheet, students solve 10 different problems that includes converting each from one form to the other. First, they determine what the base needs to be in each problem. Then, students determine...

In this complex polynomial equation activity, students find all solutions of an equation and write answers in rectangular form and exponential form. This two-page activity contains three problems.

In this powers and exponents instructional activity, students solve and complete 16 different types of problems. First, they write each power as a product of the same factor. Then, students evaluate each expression. They also write each...