answersLogoWhite

0

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

Still curious? Ask our experts.

Chat with our AI personalities

RafaRafa
There's no fun in playing it safe. Why not try something a little unhinged?
Chat with Rafa
BeauBeau
You're doing better than you think!
Chat with Beau
LaoLao
The path is yours to walk; I am only here to hold up a mirror.
Chat with Lao

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