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just olya [345]
3 years ago
12

Which expression is equivalent to 36^-1/2

Mathematics
2 answers:
inn [45]3 years ago
6 0
ANSWER


( {36})^{ (-  \frac{1}{2}) }  =  \frac{1}{6}


EXPLANATION



The given expression is


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

We cab rewrite the given expression to obtain;



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

This will simplify to give us,


{36}^{( -  \frac{1}{2} )}  =  \frac{1}{  6 }


NARA [144]3 years ago
4 0
36^{- \frac{1}{2} }= \cfrac{1}{36^{ \frac{1}{2} }} = \cfrac{1}{(6^2)^{ \frac{1}{2} }} = \cfrac{1}{6}
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