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
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When multiplying numbers with exponents, you add the exponents.
Add the exponents
If you are multiplying powers of the same base (like 24 times 211), yes, you add the exponents.
No you add them if the bases are the same.
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.