Answer :

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]