(6.2$$ \cdot $$10$$ ^8)\text{  }(4.3\cdot10 $$$$ ^7) $$

To solve $(6.2 \cdot 10^8) \cdot (4.3 \cdot 10^7)$, we will use the properties of multiplication and powers of 10.

### Step-by-Step Solution

1. **Multiply the coefficients**: $6.2 \cdot 4.3 = 26.66$.
2. **Add the exponents**: Since the bases (10) are the same, add the exponents: $8 + 7 = 15$.
3. **Combine the results**: We get $26.66 \cdot 10^{15}$.

So, the final answer is:
\[
26.66 \cdot 10^{15}
\]
This can also be rewritten in scientific notation as:
\[
2.666 \cdot 10^{16}
\]

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

### Related Questions

1. How do you multiply numbers in scientific notation?
2. What is the rule for adding exponents when multiplying powers of 10?
3. How do you convert a product into scientific notation?
4. Why is $10^{15}$ the result of adding $10^8$ and $10^7$?
5. How do rounding rules apply when dealing with scientific notation?

**Tip:** When multiplying in scientific notation, add the exponents but multiply the leading coefficients.

Solve the multiplication of numbers in scientific notation: (6.2 x 10^8) x (4.3 x 10^7). This step-by-step solution covers the multiplication of coefficients, addition of exponents, and final conversion to scientific notation. Suitable for students in Grades 8-10.

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