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Numbers written in scientific forms are said to be in standard forms
The values of a and b are a and -3, respectively.
The equation is given as:
[tex]4.5 * 10^{-3} - 3.4 * 10^{-5} = a * 10^b[/tex]
Rewrite the expression as:
[tex]4.5 * 10^2 * 10^{-5} - 3.4 * 10^{-5} = a * 10^b[/tex]
Multiply 4.5 and 10^2
[tex]450 * 10^{-5} - 3.4 * 10^{-5} = a * 10^b[/tex]
Factor out 10^-5
[tex](450 - 3.4 ) 10^{-5} = a * 10^b[/tex]
Evaluate the difference
[tex]446.6 * 10^{-5} = a * 10^b[/tex]
Rewrite as:
[tex]4.466 * 10^2 * 10^{-5} = a * 10^b[/tex]
[tex]4.466 *10^{-3} = a * 10^b[/tex]
By comparison, we have:
a = 4.466
b = -3
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