IM Alg2.3.1 Practice: Properties of Exponents

Find the value of each variable that makes the equation true.
[math]2^5\cdot2^3=2^a[/math][br][br]
[math]\frac{7^4}{7^b}=7^{\text{-}2}[/math]
[math]8^c=\frac{1}{64}[/math]
[size=150] Select [b]all[/b] the expressions equivalent to [math]7^{\text{-}2}\cdot7^5\cdot7^{\text{-}3}[/math].[/size]
Which expression is equal to [math]\frac{3^8}{3^2}[/math]?
Find the value of each variable that makes the equation true.
[math]\frac{5^6}{5^m}=5^9[/math]
[math]2^3\cdot4^n=2^{11}[/math]
[math](7^4)^k=7^{\text{-}8}[/math]
[size=150]Evaluate the expression [math]\frac{6^3}{6^3}[/math].[/size][br]
[size=150]Explain how this helps show why [math]6^0=1[/math].[br][/size]
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