Step-by-step explanation:
Since we are given variables, let plug in our values first.
[tex]g = \sqrt{ \frac{5.4 \times 10 {}^{ - 5} }{(1.6 \times 10 {}^{ - 2} ) { \\ }^{2} } } [/tex]
First, let simplify the value of the denominator
First, note that
[tex](ab) {}^{n} = {a}^{n} b {}^{n} [/tex]
Thus we have
[tex]g = \sqrt{ \frac{5.4 \times 10 {}^{ - 5} }{2.56 \times 10 {}^{ - 4} } } [/tex]
[tex] = \sqrt{ \frac{5.4}{2.56 \times 10} } [/tex]
=
[tex] = 0.211[/tex]
to 3 sf
or you could say
[tex]211 \times 10 {}^{ - 3} [/tex]
