### Home > GB8I > Chapter 4 Unit 5 > Lesson INT1: 4.1.2 > Problem4-18

4-18.

A team of students is trying to answer the scientific notation problem $2\times10^3·4\times10^7$.

Jorge thinks they should use a generic rectangle because there are two terms multiplied by two terms.

Cadel thinks the answer is $8\times10^{10}$ but he cannot explain why.

Lauren thinks they should multiply the like parts. Her answer is $8\times100^{21}$.

Who is correct? Explain why each student is correct or incorrect.

Remember: Whenever you multiply two terms with the same base, you can add the exponents.

Cadel is correct because he followed the exponent rules. Jorge is incorrect.
The Distributive Property cannot be used because there is no addition or
subtraction involved. Lauren did not follow the exponent rules either, so she
too is incorrect.