Question

How does multiplying powers with the same base differ from multiplying powers with the same exponent but different bases? Put this in dummy words so I can understand it please

Answer 1

Multiplying powers with the same base is simply adding their exponents/powers. For example,

`5^3*5^6=5^(3+6)=5^9^{}^{}`

On the other hand, multiplying the same exponent but different bases is another story. For instance,

`5^2*2^2`

To solve this one, we multiply first the two bases and the result will be raise to the given common exponent.

`(5*2)^2=(10)^2`