(4.3 x 10^3)(2 x 10^-8)
to do this, first we multiply the 1st terms or the number with no exponent (not the terms with 10 raised to an exponent). thus:
4.3*2 = 8.6
now we multiply the 2nd terms,, recall that if they have the same base (here, the base is 10) we can simply add the exponents:
10^3 * 10^-8 = 10^(3-8) = 10^(-5)
now multiplying the answers we got:
8.6 * 10^(-5)
hope this helps~ :)
4.3*10^3 * 2*10^-8=
4.3*2*10^3*10^-8=
8.6*10^[3+(-8)]=
8.6*10^(3-8)=
8.6*10^-5=
8.6/10^5=
8.6/100,000=
0.000086
To multiply two numbers written in scientific notation, you'll need to multiply the coefficients (the numbers before the "x 10") and then add the exponents.
Let's calculate (4.3 x 10^3)(2 x 10^-8):
Step 1: Multiply the coefficients:
4.3 x 2 = 8.6
Step 2: Add the exponents:
10^3 x 10^-8 = 10^(3 + -8) = 10^-5
So, the answer is 8.6 x 10^-5.