Find the values of and for each value of . What patterns do you notice?
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15.2
Activity
What's the Value?
Find the value of each expression for the given value of .
when is 10
when is
when is 4
when is
when is 1
when is
15.3
Activity
Exponent Experimentation
Find a solution to each equation in the list. (Numbers in the list may be a solution to more than one equation, and not all numbers in the list will be used.)
List:
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Student Lesson Summary
We can find the value of expressions with an exponent and a variable for different values of the variable. For example:
To find the value of the expression when is 5, we replace the variable with 5 to get .
This is equal to , or just 250.
So, the value of is 250 when is 5.
To find the value of when is 4, we replace the variable with 4 to get , which equals 2.
So, has a value of 2 when is 4.
Equations may also have an exponent and a variable. We can find out what value of the variable would make such an equation true.
Suppose we have an equation and a list of possible solutions: .
The only value of that makes the equation true is 2 because , which equals 90.
So, 2 is the solution to the equation, which we can express as .
