please check. thanks.
(8.3 x 10^-15) (7.7 x 10^4) = 6.391 x 10^-10
Is that right?
yes
Explanation:
(8.3)(7.7)=63.91
(10^-15)(10^4)=10^-11 (I simply add the exponents i.e. -15+4)
63.91x10^-11 = 6.391x10^-10 (when I move the decimal one to "right," I add one to the exponent i.e. -11+1)
To verify if the given expression is correct, we can perform the multiplication operation following the rules of scientific notation.
Given:
(8.3 x 10^-15) (7.7 x 10^4) = 6.391 x 10^-10
To multiply two numbers written in scientific notation, we can multiply their numerical coefficients and add the exponents of the powers of 10.
First, multiply the numerical coefficients:
8.3 x 7.7 = 63.91
Next, add the exponents:
10^-15 x 10^4 = 10^(-15 + 4) = 10^-11
Putting it all together, we have:
(8.3 x 10^-15) (7.7 x 10^4) = 63.91 x 10^-11 = 6.391 x 10^-10
So, yes, the result is indeed 6.391 x 10^-10.