Answer:
see the explanation
Step-by-step explanation:
we have
[tex]2.18*10^{-18}(\frac{3}{16})[/tex]
we have that
[tex]\frac{3}{16}=0.1875[/tex]
Convert to scientific notation
[tex]0.1875=1.875*10^{-1}[/tex]
substitute
[tex]2.18*10^{-18}(1.875*10^{-1}})[/tex]
Remember that
To multiply two numbers in scientific notation, multiply their coefficients and add their exponents
[tex]2.18*10^{-18}1.875*10^{-1}}=(2.18*1.875)*10^{(-18-1)}=4.0875*10^{-19}[/tex]
Round the number 4.0875 two decimal places
so
[tex]4.0875*10^{-19}=4.09*10^{-19}[/tex]
The value of given expression can be written a 4.09X10^-19.
We have,
[tex]2.18\times 10^{-18}( \frac{3}{16})......(1)[/tex]
We have that,
3/16=0.1875
We convert it into scientific notation
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
Therefore we get,
[tex]1.1875^{-1}[/tex]
Substitute above value in equation (1)
[tex]2.18\times 10^{-18} \times 1.1875^{-1}[/tex]
Now,to multiply two numbers in scientific notation, multiply their coefficients and add their exponents.
[tex]2.18\times 10^{-18}\times 1.875\times 10^{-1}\\=(2.18\times1.875)\times 10^{(-18-1)}\\=4.0875\times 10^{-19}\\=4.09\times 10^{-19}....(round the number)[/tex]
Therefore we get The 2.18X10^-18 (3/16) is equal to 4.09X10^-19.
To learn more about the exponent visit:
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