Question

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

Answer 1

Answer: Value of above expression is 2.

Step-by-step explanation:

Since we have given that

$f=h^{-2}g$

Here, h = 4

g = 32

We need to find the value of above expression.

$f=h^{-2}g\\\\f=4^{-2}\times 32\\\\f=\dfrac{32}{4^2}\\\\f=\dfrac{32}{16}\\\\f=2$

Hence, value of above expression is 2.

Answer 2

Answer:

$2$

Step-by-step explanation:

The given expression is,

$h^{-2}g$

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

$h^{-2}g=\frac{g}{h^2}$

We substitute

$h=5,g=32$

to obtain,

$=\frac{32}{4^2}$

This simplifies to,

$=\frac{32}{16}=2$