The quotient of a number 8.4x10⁹ and a number n results in 5.6 x 10^27, with the value of n is 1.5×10⁻¹⁸.
Quotient is the resultant number which is obtained by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,
[tex]q=\dfrac{a}{b}[/tex]
Here, (a, b) are the real numbers.
The two number given in the problem are, 8.4x10⁹ and n. The quotient when first number is divided with second is 5.6 x 10^27. Thus,
[tex]\dfrac{8.6\times10^9}{n}=5.6\times10^{27}[/tex]
Rearrange the equation for n as,
[tex]n=\dfrac{8.6\times10^9}{5.6\times10^{27}}\\n=\dfrac{8.6\times10^{9-27}}{5.6}\\n=1.5\times10^{-18}[/tex]
Thus, the quotient of a number 8.4x10⁹ and a number n results in 5.6 x 10^27, with the value of n is 1.5×10⁻¹⁸.
Learn more about the quotient here;
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