Permutations – Example and Practice Problems

Permutations – Example and Practice Problems

With permutations, we can count the number of different ways of choosing objects from a set if the order of the objects does matter. This is different from combinations, where the order of the objects does not matter. Here, we will start with a summary of permutations...
Combinations – Example and Practice Problems

Combinations – Example and Practice Problems

Combinations are used to count the number of different ways that certain groups can be chosen from a set if the order of the objects does not matter. This is different from permutations, where the order of the objects does matter. Here, we will look at a brief summary...
Factorials – Example and Practice Problems

Factorials – Example and Practice Problems

Factorials are simply products, indicated by an exclamation point. The factorials indicate that there is a multiplication of all the numbers from 1 to that number. Algebraic expressions with factorials can be simplified by expanding the factorials and looking for...
Fractional Exponents – Examples and Practice Problems

Fractional Exponents – Examples and Practice Problems

Fractional exponent exercises can be solved using the fractional exponent rule. This rule indicates the relationship between powers and radicals. The denominator of a fractional exponent is written as a radical of the expression and the numerator is written as the...
Negative Exponents – Examples and Practice Problems

Negative Exponents – Examples and Practice Problems

The negative exponents’ problems can be solved by applying the negative exponents’ rule, which tells us that a negative exponent can be transformed into a positive one by taking the reciprocal of its base. Here, we will look at a summary of expressions...
Laws of Exponents – Examples and Practice Problems

Laws of Exponents – Examples and Practice Problems

Exponents are simpler ways to write repeated multiplication. However, even with exponents, algebraic expressions can become long and tedious. The laws of exponents allow us to simplify algebraic expressions that contain operations with exponents. Knowledge of these...