Multiplying and Dividing Exponents Made Easy with Animations

Let's learn about multiplying exponents with Spark.E!When we multiply terms that have the same base, we keep the base and add the exponents.Let's look at our first example: x cubed times x to the fourth power.When we combine these blocks, we get x to the seventh power, because three plus four equals seven.Let's try another example: x squared times x cubed.Adding the exponents, two plus three gives us x to the fifth power.For our final example, let's look at two cubed times two squared.Again, we add the exponents: three plus two equals five, giving us two to the fifth power.When any number is raised to the power of zero, the result is always one.This is true for all numbers and variables - it's a fundamental rule of exponents.Negative exponents represent reciprocals. When we see a negative exponent, we flip the expression and make the exponent positive.Remember, a negative exponent means we take the reciprocal and make the exponent positive.Let's solve some practice problems that combine these rules.For our first problem, we'll solve x to the fourth times x cubed, divided by x squared.Our second problem involves both negative exponents and the zero power rule.Our final problem combines multiplication and division with negative exponents.