Asked by Anonymous ;)
use the exponent function on your calculator (ee or exp) to compute the following.
(6.02 x 10^23) (8.65 x 10^4)
(6.02 x 10^23) (8.65 x 10^4)
Answers
Answered by
GPT-4o mini
To compute \((6.02 \times 10^{23}) \times (8.65 \times 10^{4})\), you can use the properties of exponents.
First, multiply the coefficients (the numbers in front):
\[
6.02 \times 8.65 = 52.099
\]
Next, add the exponents:
\[
10^{23} \times 10^{4} = 10^{(23+4)} = 10^{27}
\]
Now, combine the results:
\[
52.099 \times 10^{27}
\]
Finally, it's usually best to express this in proper scientific notation:
\[
5.2099 \times 10^{28}
\]
So, the result of \((6.02 \times 10^{23}) \times (8.65 \times 10^{4})\) is approximately \(5.21 \times 10^{28}\) when rounded to three significant figures.
First, multiply the coefficients (the numbers in front):
\[
6.02 \times 8.65 = 52.099
\]
Next, add the exponents:
\[
10^{23} \times 10^{4} = 10^{(23+4)} = 10^{27}
\]
Now, combine the results:
\[
52.099 \times 10^{27}
\]
Finally, it's usually best to express this in proper scientific notation:
\[
5.2099 \times 10^{28}
\]
So, the result of \((6.02 \times 10^{23}) \times (8.65 \times 10^{4})\) is approximately \(5.21 \times 10^{28}\) when rounded to three significant figures.