Divide. Write your answer in scientific notation. 6.56 × 10⁻² 8.2 × 10⁰

To divide numbers in scientific notation, you divide the coefficients and subtract the exponents.

Here’s the calculation step-by-step:

1. Divide the coefficients:

[

frac{6.56}{8.2} approx 0.8

]

2. Subtract the exponents:

[

-2 – 0 = -2

]

3. Combine the results:

[

0.8 times 10^{-2}

]

4. Convert to proper scientific notation:

Scientific notation requires the coefficient to be between 1 and 10, so we rewrite 0.8 as 8.0 and adjust the exponent:

[

8.0 times 10^{-3}

]

Thus, the final answer is:

[
8.0 times 10^{-3}

]