Complete the equation, by supplying the missing exponent.

A virus has a volume of approximately 4.7 x 10−14 cubic centimeters. Calculate the estimated volume of 4.1 x 1016 viruses.

19.27 ×1031

1.927 ×1031

1.927 ×103

1.927 ×102

1 answer

To calculate the estimated volume of 4.1 x 1016 viruses, we need to multiply the volume of one virus by the number of viruses.

Volume of one virus: 4.7 x 10−14 cubic centimeters
Number of viruses: 4.1 x 1016

So, the estimated volume can be calculated as:
(4.7 x 10−14) x (4.1 x 1016)

To multiply these numbers, we add the exponents of the powers of 10:
10−14 + 1016 = 16 - 14 = 2

And multiply the coefficients:
4.7 x 4.1 = 19.27

Therefore, the estimated volume of 4.1 x 1016 viruses is 19.27 x 102, or 19.27 x 1031 in scientific notation.

The correct answer is: 19.27 x 1031.
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