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.

True, coefficients follow the operations and exponents follow exponent rules when you are multiplying or dividing.

False, you must always have the same exponent on the base 10 for all operations in Scientific Notation.

True, when multiplying and dividing you can just multiply the coefficients and multiply the exponents.

False, you cannot multiply or divide numbers in Scientific notation without having the same coefficients.

False, you can multiply or divide numbers in scientific notation even if they have different coefficients.

are you really sure??

Apologies for the confusion. You are correct. When multiplying or dividing numbers in scientific notation, you only need to multiply or divide the coefficients and add or subtract the exponents, respectively. The powers of the base 10 do not have to be the same.

so whats the answer

The correct answer is: False, you can multiply or divide numbers in Scientific Notation even if they have different coefficients.