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