Respond to the following prompts.
- Jane says that \(3\cdot2^3\) is equivalent to \(3\cdot8\) or 24. Joanne says that \(3\cdot2^3\) is equivalent to 18. Who is correct and why?
- Explain why \(3x^2\) and \((3x)^2\) are different.
Choose true or false; and if false, explain the reason.
3. \(3x^3y\cdot4xy^2=12x^4y^2\)
4. \((3x^3yz^2)^3 = 27x^6y^4z^5\)
5. \(\dfrac{24x^3y^2}{3xy^5}=\dfrac{8x^2}{y^3}\)
Complete each statement.
6. When multiplying two expressions with the same base, you .
7. When dividing two expressions with the same base, you .
8. When raising a base with an exponent to a power, you .