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2.56 x 10^-2 x 3.2 x 10^4 show your work
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GPT 3.5
To multiply two numbers written in scientific notation, we multiply the two coefficients together and add the exponents.
In this case:
2.56 x 10^-2 x 3.2 x 10^4 = (2.56 x 3.2) x (10^-2 x 10^4)
First, let's multiply the coefficients:
2.56 x 3.2 = 8.192
Next, add the exponents of 10:
10^-2 x 10^4 = 10^(-2+4) = 10^2 = 100
Finally, combine the coefficient and the exponent:
8.192 x 100 = 819.2
Therefore, 2.56 x 10^-2 x 3.2 x 10^4 = 819.2.
In this case:
2.56 x 10^-2 x 3.2 x 10^4 = (2.56 x 3.2) x (10^-2 x 10^4)
First, let's multiply the coefficients:
2.56 x 3.2 = 8.192
Next, add the exponents of 10:
10^-2 x 10^4 = 10^(-2+4) = 10^2 = 100
Finally, combine the coefficient and the exponent:
8.192 x 100 = 819.2
Therefore, 2.56 x 10^-2 x 3.2 x 10^4 = 819.2.
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