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The answer is option b - 198 e 16.8
The correct answer in scientific notation to the given calculation is found by multiplying the coefficients (4.3 × 4.6) and adding the exponents of 10 (9.8 + 7.0).
Given:
4.3 x [tex]10^{9.8[/tex] x 4.6 x [tex]10^{7.0[/tex]
We can simplify this expression:
[tex]\[ (4.3 \times 4.6) \times 10^{(9.8 + 7.0)} \][/tex]
= 19.78 [tex]\times 10^{16.8}[/tex]
Multiplying the coefficients gives 19.78, and adding the exponents gives 16.8. Since scientific notation requires a coefficient between 1 and 10, we rewrite 19.78 as 1.978 × 10.
Now, in scientific notation, the first part should be between 1 and 10. Therefore:
= 1.978 [tex]\times 10^{17}[/tex]
So, comparing this with the given options, 198 e 16.8 is the scientific notation of the given expression.
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