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Perform the following operation and express the answer in correct scientific notation.

[tex]\[
\left(9.25 \times 10^{-8}\right) \times \left(6.40 \times 10^3\right)
\][/tex]

[tex]\[
[?] \times 10^{[?]}
\][/tex]

Enter the coefficient in the green box and the exponent in the yellow box.


Sagot :

To perform the operation [tex]\( \left(9.25 \times 10^{-8}\right) \times \left(6.40 \times 10^3\right) \)[/tex], follow these steps:

1. Multiply the coefficients:
[tex]\[ 9.25 \times 6.40 = 59.2 \][/tex]

2. Add the exponents:
[tex]\[ (-8) + 3 = -5 \][/tex]

3. Combine the results:
The product will be written as:
[tex]\[ 59.2 \times 10^{-5} \][/tex]

Thus, the answer in correct scientific notation is:

[tex]\[ 59.2 \times 10^{-5} \][/tex]

- Enter 59.2 in the green box.
- Enter -5 in the yellow box.