Answer:
b) [tex]6^{-2}[/tex]
c) [tex]\frac{6^3}{6^5}[/tex]
f) [tex]6^{-9} . 6^{7}[/tex]
Step-by-step explanation:
The given expression is [tex]\frac{1}{36}[/tex]
36 can be written as 6*6 = [tex]6^{2}[/tex]
So the given expression can be written as [tex]\frac{1}{6^2}[/tex]
We can use the following exponent rules and write the given equation in different forms.
i) [tex]a^{-m} = \frac{1}{a^m}[/tex]
ii) [tex]a^m *a^n = a^{m + n}[/tex]
[tex]\frac{1}{6^2} = 6^{-2}[/tex]
[tex]\frac{1}{6^2} = \frac{6^3}{6^5}[/tex]
[tex]\frac{1}{6^2} = 6^{-9} . 6^{7}[/tex]
