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nata0808 [166]
1 year ago
13

Describe a way to check the correctness of a subtraction answer.

Mathematics
1 answer:
Tamiku [17]1 year ago
3 0

Step-by-step explanation:

Well in general, we can represent subtraction as: x-y=z

"z" represents the difference, and it really just represents x with y taken away. So if we were to "give back" this y value, we should get "x".

This means that: z+y=x

So one way to check, is adding the value that's being subtracted (y value) and the difference (z value), this should get you the value that is being subtracted from (x value). If you don't get the original value that's being subtracted from (x-value) then you know the answer you got is wrong.

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Which expression is equivalent to 36^-1/2
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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 }


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