answersLogoWhite

0


Best Answer

To understand this, you have to think about what an exponent represents. An exponent is a representation of the number of times the base is multiplied by itself. For example:

a3 = a × a × a

or:

a5 = a × a × a × a × a

now look at those same two examples, and consider what happens when you multiply them together:

a3 × a5

= (a × a × a) × (a × a × a × a × a)

The order of operations doesn't matter in this case, as they're all using the same operator. That means we can get rid of those brackets:

= a × a × a × a × a × a × a × a

= a8

The exponents are multiplied when a term is raised to more than one power. For example:

(a2)3

can also be expressed as:

(a2) × (a2) × (a2)

= (a × a) × (a × a) × (a × a)

= a × a × a × a × a × a

= a6

User Avatar

Wiki User

14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Why do you add the exponents instead of multiplying the exponents?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

When multiplying binomials that turn out negative do you add or subtract exponents?

When multiplying numbers with exponents, you add the exponents.


When multiplying a number with exponents do you add or multiply the exponents?

You add exponents when multiplying. Ex: (xm) × (xn) = xm+n


When you are multiplying exponents do you only add the exponents or do you also multiply the bases?

Add the exponents


When multiplying number do you add the exponents?

If you are multiplying powers of the same base (like 24 times 211), yes, you add the exponents.


What you do with the exponents when you you are multiplying?

If you are multiplying numbers with exponents, and the base is the same, you can just add exponents. For example, 104 x 105 = 109.


When multiplying a number exponents that are squared do you add or multiply?

If the base numbers or variables are the same, you add the exponents.


What are the rules adding and subtracting exponents?

When multiplying something with exponents, you add it. When dividing something with exponents, you subtract it.


Do you subtract exponents when multiplying?

No you add them if the bases are the same.


When multiplying variables with the same base what do you do with the exponents?

You add them.


When multiplying 2 or more variables with exponents what do you do with the exponents?

You add the exponents- x^2*x^6=x^8


Can you add exponents?

Yes,because multiplying is just short addition.


How do you multiplying exponents with the same base?

You add the exponents. Example: 102 x 103 = 105.You add the exponents. Example: 102 x 103 = 105.You add the exponents. Example: 102 x 103 = 105.You add the exponents. Example: 102 x 103 = 105.