Question

Which expressions are equivalent to 1/36?

Answer 1

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

Answer 2

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) $a^m *a^n = a^{m + n}$

$\frac{1}{6^2} = 6^{-2}$

$\frac{1}{6^2} = \frac{6^3}{6^5}$

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