Answer:
6 - [tex](\frac{2}{3} )^{2} =[/tex] [tex]\frac{50}{9}[/tex]
3² - [tex](\frac{2}{3} )=[/tex] [tex]8\frac{1}{3}[/tex]
7 - [tex](\frac{1}{2} )^{3}[/tex] = [tex]\frac{55}{8}[/tex]
Step-by-step explanation:
1. 6 - [tex](\frac{2}{3} )^{2}[/tex]
First, apply the exponent to 2/3. Because it's to the second power, multiply 2/3 by itself.
[tex](\frac{2}{3} )^{2}=\frac{4}{9}[/tex]
6 - [tex]\frac{4}{9}[/tex]
Now, subtract.
6 - [tex]\frac{4}{9}[/tex] = [tex]\frac{50}{9}[/tex]
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2. 3² - [tex]\frac{2}{3}[/tex]
First, apply the exponent.
3² = 9
9 - [tex]\frac{2}{3}[/tex]
Now, subtract.
9 - [tex]\frac{2}{3}=\frac{25}{3}[/tex]
[tex]\frac{25}{3} =8\frac{1}{3}[/tex]
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3. 7 - [tex](\frac{1}{2} )^{3}[/tex]
First, apply the exponent.
[tex](\frac{1}{2} )^{3}[/tex] = [tex]\frac{1}{8}[/tex]
7 - [tex]\frac{1}{8}[/tex]
Now, subtract.
7 - [tex]\frac{1}{8}=\frac{55}{8}[/tex]
hope this helps!
