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.%C2%A0 You can simply follow the exponent rules for multiplying and dividing with the like base 10.
When multiplying numbers in scientific notation, you multiply the coefficients and add the exponents of the base 10. For example, if you have (2 x 10^5) x (3 x 10^3), you would multiply 2 and 3 to get 6, and add 5 and 3 to get 8. The result would be 6 x 10^8.
When dividing numbers in scientific notation, you divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator. For example, if you have (4 x 10^6) รท (2 x 10^3), you would divide 4 by 2 to get 2, and subtract 3 from 6 to get 3. The result would be 2 x 10^3.
So, in both cases, you don't have to have the same power of the base 10, but you apply the exponent rules accordingly.