Multiply or divide and write scientific notation for the result.
(7.66 • 102)(6.29 • 10-4)
(7.66 • 6.29)(10^(2+[-4])
(7.66 • 6.29)x(10^(2+[-4])
when you move the decimal over one (to the right), add one to the exponent.
it should be in this form
_._ _ x 10^-
To multiply the two numbers in scientific notation, we multiply the decimal parts and add the exponents.
First, let's multiply the decimal parts:
7.66 * 6.29 = 48.1514
Next, let's add the exponents:
10^2 * 10^(-4) = 10^(2 + -4) = 10^(-2)
Finally, let's combine the decimal part and the exponent:
48.1514 * 10^(-2)
To write this in scientific notation, we need to move the decimal point 2 places to the left to match the exponent of -2:
4.81514 * 10^(-1)