Question

Evaluate h-^2g for h=4 and g=32

Answer 1

Answer: Value of above expression is 2.

Explanation:

Since we have given that

`f=h^(-2)g`

Here, h = 4

g = 32

We need to find the value of above expression.

`f=h^(-2)g\\\\f=4^(-2)* 32\\\\f=(32)/(4^2)\\\\f=(32)/(16)\\\\f=2`

Hence, value of above expression is 2.

Answer 2

`2`

Explanation:

The given expression is,

`h^(-2)g`

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

`h^(-2)g=(g)/(h^2)`

We substitute

`h=5,g=32`

to obtain,

`=(32)/(4^2)`

This simplifies to,

`=(32)/(16)=2`