Question

1Which expressions are equivalent to 36 ? Check all that apply.□ 3-6| B-2외6.6-2□ 6-3 67

Answer 1

Given that the fraction is 1/36

And we need to find the equivalent ones.

Explanation-

So first we will solve all the options and then we will get the required answer.

If we shift power from the numerator to the denominator then the sign of the number n the power gets changed and vice-versa.

Then,

`3^(-6)=(1)/(3^6)=(1)/(729)\\e(1)/(36)`
`6^(-2)=(1)/(6^2)=(1)/(36)`
`(6^3)/(6^5)=(1)/(6^5*6^(-3))=(1)/(6^(5-3))=(1)/(6^2)=(1)/(36)`
`(6^2)/(6^(-1))=6^2*6=6^3=216\\e(1)/(36)`
`6*6^(-2)=(6)/(6^2)=(1)/(6)\\e(1)/(36)`
`6^(-9)*6^7=(6^7)/(6^9)=(1)/(6^9*6^(-7))=(1)/(6^(9-7))=(1)/(6^2)=(1)/(36)`

Hence,

The final answer is option 2, 3, and6