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Evaluate the expression for x=-2. No decmial values in answer. 1/x/x^4. The answer is -1/32 but i dont know how to solve it i keep getting 8 please help and explain what i did wrong. This is using exponent rules! Thank you so much! :)

 Mar 8, 2021
 #1
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Evaluate the expression for x=-2. No decmial values in answer. 1/x/x^4. The answer is -1/32 but i dont know how to solve it i keep getting 8 please help and explain what i did wrong. This is using exponent rules! Thank you so much! :)   

 

    1                              x4  

———   divided by   ———  

    x                              1  

 

To divide by a fraction, invert the divisor and multiply.  

 

    1                                1     

———   multiplied by  ———  

    x                                x4     

 

    1                                1     

———   multiplied by  ———  

  –2                              (–2)4     

 

    1             1     

———  •  ———  

  –2            16  

 

Take it from there.

.

 Mar 8, 2021
 #2
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Here's another way to look at it.  I'm not sure what "using exponent rules" means. Maybe this is it. 

 

    1                              x4  

———   divided by   ———  

    x                              1  

 

To divide by a fraction, invert the divisor and multiply.  

 

    1                                 1     

———   multiplied by   ———  

    x                                  x4     

 

    1              1                 1                1                 1

———    ———   =   ———   =   ———   =   ———  

    x               x4               x5             (–2)5          –32  

.

 Mar 8, 2021

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