Respuesta :

kudzordzifrancis

Answer:


[tex]2[/tex]


Step-by-step explanation:


The given expression is,


[tex]h^{-2}g[/tex]



We apply the laws of indices to rewrite as a positive index to get,


[tex]h^{-2}g=\frac{g}{h^2}[/tex]


We substitute


[tex]h=5,g=32[/tex]


to obtain,


[tex]=\frac{32}{4^2}[/tex]


This simplifies to,



[tex]=\frac{32}{16}=2[/tex]

Answer: Value of above expression is 2.

Step-by-step explanation:

Since we have given that

[tex]f=h^{-2}g[/tex]

Here, h = 4

g = 32

We need to find the value of above expression.

[tex]f=h^{-2}g\\\\f=4^{-2}\times 32\\\\f=\dfrac{32}{4^2}\\\\f=\dfrac{32}{16}\\\\f=2[/tex]

Hence, value of above expression is 2.

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