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The expression to be calculated is:

\[
(7 \times 10^1) \times (6 \times 10^4)
\]

### Step-by-step solution:

1. **Multiply the coefficients** (7 and 6):
   \[
   7 \times 6 = 42
   \]

2. **Add the exponents** of the powers of 10 (since we are multiplying powers of 10 with the same base):
   \[
   10^1 \times 10^4 = 10^{1+4} = 10^5
   \]

3. **Combine the results**:
   \[
   42 \times 10^5
   \]

However, this is not in proper scientific notation. In scientific notation, the coefficient must be a number between 1 and 10. To convert this:

\[
42 \times 10^5 = 4.2 \times 10^6
\]

### Final answer:
\[
4.2 \times 10^6
\]

Would you like more details or have any questions?

Here are some related questions to further your understanding:

1. How do you multiply numbers in scientific notation?
2. Why is it necessary to adjust the coefficient to be between 1 and 10 in scientific notation?
3. What is the difference between multiplying and adding powers of 10?
4. Can scientific notation be used in division? How does it work?
5. How would you convert a number like \(4.2 \times 10^6\) back to its standard form?

**Tip:** When multiplying numbers in scientific notation, always focus on two parts separately: the coefficients and the exponents of 10.

Calculate and give your answer in scientific notation: (7x10^1)X(6x10^4)

Learn how to calculate (7x10^1) x (6x10^4) in scientific notation with a step-by-step explanation. This problem covers key concepts in scientific notation and exponents, suitable for students in Grades 8-10.

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