https://file.aiquickdraw.com/mathbot/file/17298222716294hj8zfnh.jpg

The image shows the mathematical expression:

\[
6.63 \times 10^{-34} \times 3 \times 10^{17} \div 700
\]

Let's break this down and solve step by step:

### Step 1: Simplify the multiplication
Multiply the coefficients:
\[
6.63 \times 3 = 19.89
\]

Now, handle the powers of 10:
\[
10^{-34} \times 10^{17} = 10^{-34 + 17} = 10^{-17}
\]

So far, the expression becomes:
\[
19.89 \times 10^{-17} \div 700
\]

### Step 2: Perform the division
Now divide 19.89 by 700:
\[
\frac{19.89}{700} \approx 0.02841
\]

### Step 3: Recombine with the power of 10
Now, the expression is:
\[
0.02841 \times 10^{-17}
\]

This can be written as:
\[
2.841 \times 10^{-19}
\]

Thus, the final result is:

\[
2.841 \times 10^{-19}
\]

Would you like any additional explanation, or have any questions? Here are some follow-up questions to expand this topic:

1. How do you simplify expressions with different powers of 10?
2. What are some common scientific constants that use powers of 10, such as Planck's constant?
3. How can you approximate values when multiplying or dividing large numbers?
4. What role does scientific notation play in physics and engineering calculations?
5. Can you explain the process of multiplying and dividing exponents?

**Tip:** When multiplying and dividing numbers in scientific notation, remember to handle the coefficients and exponents separately, simplifying the powers of 10 according to the rules of exponents.

Simplify the expression 6.63 × 10^-34 × 3 × 10^17 ÷ 700

Learn how to simplify the scientific notation expression 6.63 × 10^-34 × 3 × 10^17 ÷ 700 step by step. This problem focuses on key math concepts like multiplying and dividing powers of 10 and handling scientific notation. Suitable for Grades 8-10 students.

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