When adding and subtracting numbers in Scientific Notation, the powers of the base 10 must be the same exponent so that you have "like terms".
When multiplying and dividing numbers in Scientific Notation, you do not have to have the same power of the base 10. You can simply follow the exponent rules for multiplying and dividing with the like base 10.
That is correct.
When adding and subtracting numbers in scientific notation, the exponents must be the same in order to combine the terms. This is because the powers of 10 represent the magnitude or size of the number. If the exponents are different, you must convert one number to match the exponent of the other before performing the addition or subtraction.
On the other hand, when multiplying and dividing numbers in scientific notation, you can follow the exponent rules for multiplication and division independently of the base 10. For multiplication, you add the exponents of the base and for division, you subtract the exponents. This allows you to easily perform the calculations and maintain the correct precision represented by scientific notation.