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Verified Answer :

6^-2 , 6^3/6^5 , 6^-9 • 6^7. I believe these are the expressions that are equivalent to 1/36.

Answer:

b) \(6^{-2}\)

c) \(\frac{6^3}{6^5}\)

f) \(6^{-9} . 6^{7}\)

Step-by-step explanation:

The given expression is \(\frac{1}{36}\)

36 can be written as 6*6 = \(6^{2}\)

So the given expression can be written as \(\frac{1}{6^2}\)

We can use the following exponent rules and write the given equation in different forms.

i) \(a^{-m} = \frac{1}{a^m}\)

ii) \(a^m *a^n = a^{m + n}\)

\(\frac{1}{6^2} = 6^{-2}\)

\(\frac{1}{6^2} = \frac{6^3}{6^5}\)

\(\frac{1}{6^2} = 6^{-9} . 6^{7}\)