IDNLearn.com provides a user-friendly platform for finding and sharing accurate answers. Discover reliable and timely information on any topic from our network of experienced professionals.

Multiply the following and express your answer in appropriate scientific notation:

[tex]\[
\left(1.7 \times 10^{-6}\right) \times \left(5.8 \times 10^{-19}\right)
\][/tex]


Sagot :

To multiply the given numbers in scientific notation, follow these detailed steps:

1. Identify the numbers and their exponents:
- The first number is [tex]\( 1.7 \times 10^{-6} \)[/tex]
- The second number is [tex]\( 5.8 \times 10^{-19} \)[/tex]

2. Multiply the coefficients (the decimal parts):
- [tex]\( 1.7 \times 5.8 \)[/tex]
- To multiply these, you get:
[tex]\[ 1.7 \times 5.8 = 9.86 \][/tex]

3. Add the exponents:
- The exponents are [tex]\(-6\)[/tex] and [tex]\(-19\)[/tex]
- Adding these exponents:
[tex]\[ -6 + (-19) = -25 \][/tex]

4. Combine the result from the coefficient multiplication with the sum of the exponents:
- Combine [tex]\( 9.86 \)[/tex] with [tex]\( 10^{-25} \)[/tex]
[tex]\[ 9.86 \times 10^{-25} \][/tex]

So, the product of [tex]\( \left(1.7 \times 10^{-6}\right) \times \left(5.8 \times 10^{-19}\right) \)[/tex] is
[tex]\[ 9.86 \times 10^{-25} \][/tex]

This is the final answer, expressed in appropriate scientific notation.