Respuesta :
Answer:
49
Step-by-step explanation:
First we can do x^-2. Anything to a negative power is 1 over that power. 7^-2 is 1/49. Now, we have 1 divided by that. Using the Keep, Flip, Change rule in dividing fractions, we have 1*49. This equals 49. So, your final answer will be 49
For this case we must evaluate the following expression:
[tex]\frac {1} {x ^ {- 2}}\ for\ x = 7[/tex]
By definition of power properties we have to:
[tex]x ^ {- 1} = \frac {1} {x ^ 1} = \frac {1} {x}[/tex]
So, rewriting the given expression we have:
[tex]\frac {1} {\frac {1} {x ^ 2}}[/tex]
Applying double c we have:
[tex]\frac {1} {\frac {1} {x ^ 2}} = x ^ 2[/tex]
Substituting [tex]x = 7[/tex]we have:
[tex]7 ^ 2 = 49[/tex]
Thus, the value of the expression for[tex]x = 7[/tex]is 49
Answer:
49