This is not written in scientific notation.
Which one of the rules is not followed in this notation?

The first factor is more than $10$. We can move the decimal one digit to the left so that the number is between $1$ and $10$. How will that change the second factor?

By moving the decimal one digit to the left to make $9.25$, we must add $1$ to the exponent of $10$. If we move the decimal to the right, we must subtract $1$ from the exponent of $10$.

$9.25 × 10^{−1}$

Are any of the rules broken by this notation?

Are all of the rules followed by this notation?

Yes. The second factor has a base of $10$ and an integer exponent of $1$.

$10^{1} = 10$

The first and second rules for scientific notation are both broken. How can you rewrite each factor to satisfy both rules?

$100^{2}$ is $\left(100\right)\left(100\right)$. This value is $10,000$. How many times do you have to multiply 10 by itself to get $10,000$?

$\left(10\right)\left(10\right)\left(10\right)\left(10\right) = 10,000$, so $4$ times.
Now we have $0.83 · 10^{4}$.

We need to change $0.83$ to a number between $1$ and $10$. Move the decimal point one digit to the right. What does this do to the exponent of $10$?

We have to subtract $1$ from the exponent of $10$. So now we have:

$8.3 × 10^{3}$