IM 8.7.6 Lesson: What about Other Bases?

Is each statement true or false?
[math]3^5<4^6[/math]
Explain your reasoning.
[math](\text{-}3)^2<3^2[/math]
Explain your reasoning.
[math](\text{-}3)^3=3^3[/math]
Explain your reasoning.
[math](\text{-}5)^2>\text{-}5^2[/math]
Explain your reasoning.
Complete the table to show what it means to have an exponent of zero or a negative exponent.
What patterns do you notice when you start with a fraction raised to a negative exponent and rewrite it using a single positive exponent? Show or explain your reasoning.
[size=150]Lin, Noah, Diego, and Elena decide to test each other’s knowledge of exponents with bases other than 10. They each chose an expression to start with and then came up with a new list of expressions; some of which are equivalent to the original and some of which are not.[br][br][/size][size=150]Choose the equivalent expressions.[br][/size][br]Lin’s original expression is [math]5^{-9}[/math] and her list is:
Noah’s original expression is [math]3^{10}[/math] and his list is:
Diego’s original expression is [math]x^4[/math] and his list is:[br]
Elena’s original expression is [math]8^0[/math] and her list is:
Choose 2 of the 4 lists to analyze. For each list of expressions you choose to analyze, explain your reasoning.

IM 8.7.6 Practice: What about Other Bases?

[size=150]Priya says “I can figure out [math]5^0[/math] by looking at other powers of 5. [math]5^3[/math]  is 125, [math]5^2[/math] is 25, then [math]5^1[/math] is 5.”[/size][br][br]What pattern do you notice?
If this pattern continues, what should be the value of [math]5^0[/math]? Explain how you know.[br][br]
If this pattern continues, what should be the value of [math]5^{-1}[/math]? Explain how you know.
Select [b]all [/b]the expressions that are equivalent to [math]4^{-3}[/math].
Write each expression using a single exponent.
Andre sets up a rain gauge to measure rainfall in his back yard. On Tuesday, it rains off and on all day.
[list][*]He starts at 10 a.m. with an empty gauge when it starts to rain.[/*][*]Two hours later, he checks, and the gauge has 2 cm of water in it.[/*][*]It starts raining even harder, and at 4 p.m., the rain stops, so Andre checks the rain gauge and finds it has 10 cm of water in it.[/*][*]While checking it, he accidentally knocks the rain gauge over and spills most of the water, leaving only 3 cm of water in the rain gauge.[/*][*]When he checks for the last time at 5 p.m., there is no change.[/*][/list][br]Graph A[br][img]data:image/png;base64,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[/img][br]Graph B[br][img]data:image/png;base64,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[/img][br][br]Which of the two graphs could represent Andre’s story? Select the correct graph using the dropdown menu in the applet below. Then explain your reasoning.
Label the axes of the correct graph with appropriate units.[br][br]Use the graph to determine how much total rain fell on Tuesday.

Information