Practice with Rational Bases: IM 8.7.7
[url=https://im.kendallhunt.com/MS/teachers/3/7/7/preparation.html]“Practice with Rational Bases”[/url] from IM Grade 8 by [url=https://www.geogebra.org/m/gus8ffvr]Open Up Resources[/url] and Illustrative Mathematics. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0 license[/url].
Table of Contents
- Lesson 8.7.7
- IM 8.7.7 Lesson: Practice with Rational Bases
- Practice 8.7.7
- IM 8.7.7 Practice: Practice with Rational Bases
IM 8.7.7 Lesson: Practice with Rational Bases
Which expression doesn’t belong?
[left][/left][table][tr][td][math]\frac{2^8}{2^5}[/math][/td][td][math]\left( \frac34 \right)^{\text-5} \cdot \left( \frac34 \right)^{8}[/math][/td][/tr][tr][td][math]\left(4^{\text-5}\right)^{8}[/math][/td][td][math]\frac{10^8}{5^5}[/math][/td][/tr][/table]
Choose 6 of the equations to write using a single exponent:
Which problems did you want to skip in the previous question? Explain your thinking.
Choose 3 of the following to write using a single, positive exponent:
Choose 3 of the following to evaluate:
Mark each equation as true or false.
[math]\left(\frac{1}{3}\right)^2\cdot\left(\frac{1}{3}\right)^4=\left(\frac{1}{3}\right)^6[/math]
[math]3^2\cdot5^{^3}=15^5[/math]
[math]5^4\cdot5^5=5^9[/math]
[size=150]What could you change about the false equations above to make them true?[/size]
[math]\left(\frac{1}{2}\right)^4\cdot10^3=5^7[/math]
Explain or show your reasoning.
[math]3^2\cdot5^2=15^2[/math]
Solve this equation: [math]3^{^{x-5}}=9^{^{x+4}}[/math].
IM 8.7.7 Practice: Practice with Rational Bases
Write with a single exponent:
[size=150]Noah says that [math]2^{^4}\cdot3^{^2}=6^{^6}[/math]. Tyler says that [math]2^4\cdot4^2=16^2[/math].[br][/size][br]Do you agree with Noah? Explain or show your reasoning.
Do you agree with Tyler? Explain or show your reasoning.