8x10to the 24th power over 2 x 10 to the 18

To solve the expression \(\frac{8 \times 10^{24}}{2 \times 10^{18}}\), we can simplify it step by step:

### Step 1: Simplify the constants
\[
\frac{8}{2} = 4
\]

### Step 2: Simplify the powers of 10
When dividing terms with the same base (10), subtract the exponents:
\[
10^{24} \div 10^{18} = 10^{24 - 18} = 10^{6}
\]

### Step 3: Combine the results
Now, multiply the simplified constants and powers of 10:
\[
4 \times 10^{6}
\]

### Final Answer:
\[
4 \times 10^6
\]

Let me know if you'd like more details or have any questions!

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Here are 5 related questions you could explore:
1. What is \( (3 \times 10^{5}) \div (6 \times 10^{2}) \)?
2. How do you multiply powers of 10 together?
3. What is the product of \( 5 \times 10^3 \) and \( 2 \times 10^4 \)?
4. How do you simplify \( \frac{9 \times 10^7}{3 \times 10^2} \)?
5. What is the value of \( 6 \times 10^9 + 4 \times 10^9 \)?

**Tip**: When dividing or multiplying terms with powers of 10, just focus on the exponents first, and then handle the constants separately!

8x10 to the 24th power over 2 x 10 to the 18

This solution explains how to simplify the expression 8 × 10^24 ÷ 2 × 10^18 step-by-step using exponent rules. Learn how to divide powers of 10 and simplify constants. Suitable for students in Grades 9-10.

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