Which expressions are equivalent to 1/36?
Which expressions are equivalent to 1/36?
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) \(a^m *a^n = a^{m + n}\)
\(\frac{1}{6^2} = 6^{-2}\)
\(\frac{1}{6^2} = \frac{6^3}{6^5}\)
\(\frac{1}{6^2} = 6^{-9} . 6^{7}\)