Evaluate the following expression using exponential rules. Write the result in standard notation.(5x10^-9)(7x10^-9)=
A.0.00000000000000000035
B.0.3500000000000000000
C.0.0000000000000000035
D.0.000000000000000035
To multiply two numbers written in scientific notation, you multiply their coefficients and add their exponents.
For the coefficients, 5 multiplied by 7 equals 35.
For the exponents, since both numbers have a base of 10, you add the exponents. -9 + -9 = -18.
Therefore, the result in standard notation is 35 x 10^-18.
Converting that to standard notation, we move the decimal point 18 places to the left, resulting in:
0.000000000000000035.
So the correct answer is D. 0.000000000000000035.