173k views
5 votes
Which expression is equivalent to 36^-1/2

User Abdol Seed
by
8.7k points

2 Answers

6 votes

36^{- (1)/(2) }= \cfrac{1}{36^{ (1)/(2) }} = \cfrac{1}{(6^2)^{ (1)/(2) }} = \cfrac{1}{6}
User Telgin
by
8.3k points
6 votes
ANSWER



( {36})^{ (- (1)/(2)) } = (1)/(6)


Step-by-step explanation



The given expression is



{36}^{( - (1)/(2) )}
This is having a negative index. We must first of all change to a positive index.


Recall that,




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

We apply this law of exponents to get,




{36}^{( - (1)/(2) )} = \frac{1}{ {36}^{( (1)/(2) )} }

We cab rewrite the given expression to obtain;




{36}^{( - (1)/(2) )} = (1)/( √(36) )

This will simplify to give us,



{36}^{( - (1)/(2) )} = (1)/( 6 )


User Natsumi
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories