If you're multiplying 2 numbers that are the same, and they each have an exponent, how do you determine what the new exponent will be?

You add the exponents and multiply the coefficient, so 8²*8² would be 64 with 4 being the exponent

If the bases are the same, then u keep the same base and add the exponents

examples:

2^3 * 2^4 = 2^ (3 + 4) = 2^7

3^3 * 3^3 = 3^ (3 + 3) = 3^6

this does not apply if u have different bases

if u have different bases, u have to work them out ...

examples:

2^2 * 3^2 = 4 * 9 = 36

3^3 * 2^2 = 27 * 4 = 108