Given that, in standard form, is approx. and is approx. find the approximation in standard form...

Hello!

To answer this question we only need the fact  

By the definition, raise some number to a negative natural power means 1) raise to the positive power and 2) divide by the result. This is the formula:

As you can easily infer from this formula,

                             ...

Hello!

To answer this question we only need the fact  

By the definition, raise some number to a negative natural power means 1) raise to the positive power and 2) divide by the result. This is the formula:

As you can easily infer from this formula,

                                                    (1)

is also true.

In our task, and So we have

The number at the denominator is approximately known, so

Now we use the formula (1) in the reverse direction for and

This way the number in question is about

 

(standard form requires factor between and ).

So the answer is:  

(if you actually need 3 in some other degree, please reply and I'll try to help)