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

b)
`6^(-2)`

c)
`(6^3)/(6^5)`

f)
`6^(-9) . 6^(7)`

Explanation:

The given expression is
`(1)/(36)`

36 can be written as 6*6 =
`6^(2)`

So the given expression can be written as
`(1)/(6^2)`

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

i)
`a^(-m) = (1)/(a^m)`

ii)
`a^m *a^n = a^(m + n)`

`(1)/(6^2) = 6^(-2)`

`(1)/(6^2) = (6^3)/(6^5)`

`(1)/(6^2) = 6^(-9) . 6^(7)`