Multiply the following and express your answer in appropriate scientific notation:
(
6.5
×
10
−
21
)
×
(
1.3
×
10
−
44
)

To multiply numbers in scientific notation, we multiply the coefficients and add the exponents of 10:

Given:
\[
(6.5 \times 10^{-21}) \times (1.3 \times 10^{-44})
\]

1. Multiply the coefficients:  
   \[
   6.5 \times 1.3 = 8.45
   \]

2. Add the exponents of 10:  
   \[
   -21 + (-44) = -65
   \]

So, the product is:
\[
8.45 \times 10^{-65}
\]

In scientific notation, this is expressed as:
\[
8.45 \times 10^{-65}
\]

---

Would you like further details or have any questions?

Here are five related questions:
1. How would you handle multiplication if one number had a positive exponent?
2. What steps are taken if we need to adjust the coefficient to fall between 1 and 10?
3. How is division performed in scientific notation?
4. What is the significance of negative exponents in scientific notation?
5. How do you convert a number from scientific notation to standard form?

**Tip:** When multiplying scientific notation, remember to check that the coefficient is between 1 and 10 to ensure correct scientific notation form.

Multiply the following and express your answer in appropriate scientific notation: (6.5 × 10^−21) × (1.3 × 10^−44)

Learn how to multiply numbers in scientific notation with the example (6.5 × 10^−21) × (1.3 × 10^−44). This solution guides you through multiplying coefficients and adding exponents, resulting in an answer of 8.45 × 10^−65. Ideal for students in Grades 8-10 studying exponents and scientific notation.

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