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So the base stands alone, and 25 1 is simply 25.īut what about a value raised to the power of 0? Use what you know about powers of 10 to find out what the power of 0 means. This makes sense, because the exponent of 1 means the base is used as a factor only once. Any value raised to the power of 1 is just the value itself. What does it mean when an exponent is 0 or 1? Let's consider 25 1. The addition of parentheses made quite a difference!Įvaluate the expression − (2 x) 4, if x = 3. Notice the difference between the example above and the one below. Then evaluate, using order of operations. So, when you evaluate the expression 5 x 3 if x = 4, first substitute the value 4 for the variable x. Next, look for Exponents, followed by Multiplication and Division (reading from left to right), and lastly, Addition and Subtraction (again, reading from left to right). First, evaluate anything in Parentheses or grouping symbols. You can use PEMDAS to remember the order in which you should evaluate the expression. You substitute the value of the variable into the expression and simplify. You can see that there is quite a difference, so you have to be very careful!Įvaluating expressions containing exponents is the same as evaluating any expression. If − 3 is to be the base, it must be written as ( − 3) 4, which means − 3

If the exponential expression is negative, such as − 3 4, it means –(3

So in the expression xy 4, only the y is affected by the 4. The exponent applies only to the number that it is next to. The expression 10 3 is called the exponential expression.ġ0 3 is read as '10 to the third power' or '10 cubed.' It means 10 Ĩ 2 is read as '8 to the second power' or '8 squared.' It means 8 ĥ 4 is read as '5 to the fourth power.' It means 5 ī 5 is read as ' b to the fifth power.' It means b We use exponential notation to write repeated multiplication, such as 10 This can be written more efficiently as 2 12.

One type of cell divides 2 times in an hour. For example, growth occurs in living organisms by the division of cells. It was developed to write repeated multiplication more efficiently.