1.95x10^6 x 8.03x10^-8

show your work

To multiply numbers in scientific notation, you need to multiply the coefficients (numbers in front) and add the exponents of the powers of 10.

Using the given numbers:
1.95 × 10^6 x 8.03 × 10^-8

Step 1: Multiply the coefficients: 1.95 x 8.03 = 15.6385

Step 2: Add the exponents: 10^6 x 10^-8 = 10^(6-8) = 10^-2

Final result: 15.6385 x 10^-2 (or written in scientific notation: 1.56385 x 10^-1)

To multiply two numbers in scientific notation, you need to multiply the coefficients (numbers before the "x") and add the exponents of the powers of 10.

Given:

1.95 x 10^6
8.03 x 10^-8

Multiplying the coefficients:

1.95 x 8.03 = 15.6285

Adding the exponents:

10^6 x 10^-8 = 10^(6+(-8)) = 10^-2

Combining the coefficient and the exponent:

15.6285 x 10^-2

So, the result of multiplying 1.95x10^6 and 8.03x10^-8 is 15.6285x10^-2.

To multiply two numbers in scientific notation, we need to multiply the coefficients (the numbers multiplied together) and add the exponents.

Given:

1.95 x 10^6 x 8.03 x 10^-8

Step 1: Multiply the coefficients:
1.95 x 8.03 = 15.6285

Step 2: Add the exponents:
10^6 x 10^-8 = 10^(6 + (-8)) = 10^-2

Step 3: Combine the coefficient and exponent:
15.6285 x 10^-2

To express the coefficient in standard decimal notation, we need to move the decimal point two places to the left because 10^-2 means dividing the number by 100.

Therefore, the final answer is:
0.156285