Can you add bases with different exponents?
It is possible to multiply exponents with different bases, but there’s one important catch: the exponents have to be the same. First, multiply the bases together. Then, add the exponent. Instead of adding the two exponents together, keep it the same.
What do you do if you have the same base but different exponents?
When you multiply two numbers or variables with the same base, you simply add the exponents. When you multiply expressions with the same exponent but different bases, you multiply the bases and use the same exponent.
Can you combine the same variables with different exponents?
To add or subtract with powers, both the variables and the exponents of the variables must be the same. When adding or subtracting with powers, the terms that combine always have exactly the same variables with exactly the same powers. These rules are true for multiplying and dividing exponents as well.
Can you subtract exponents with the same base?
Subtraction of exponents really does not involve any a rule. If a number is raised to a power. You simply compute the result and then perform the normal subtraction. If both the exponents and the bases are the same, you can subtract them like any other like terms in algebra.
Can you add two different variables?
You add terms that have the same variables because they represent the same amounts. You don’t try to add the terms with different variables. The examples that follow involve two or more variables: Two variables.
How do you simplify exponents with the same base?
To multiply exponential terms with the same base, simply add the exponents. Simplify. The base of both exponents is a, so the product rule applies. Add the exponents with a common base….Answer.
| Example | ||
|---|---|---|
| Problem | Evaluate when x = 4. | |
| Substitute the value 4 for the variable x. | ||
| Answer | = 768 |