Respuesta :
The solutions of the mathematical expressions from least to greatest are,
0.0174, 0.03626, 0.0464, 4214, 316216.2
What is expression?
"It is a combination of numbers, variables, mathematical operations (such as addition, subtraction, multiplication or division etc.)"
What is exponent?
"It is a number that shows how many times another number is to be multiplied by itself"
Exponent formulas:
[tex]a^m\times a^n=a^{m+n}\\a^m\div a^n=a^{m-n}[/tex]
For given example,
We solve each expression using exponents formulas.
Consider the first expression,
[tex]\Rightarrow (4.3\times 10^6).(9.8\times 10^{-4})=42.14\times 10^(6-4)\\\\\Rightarrow (4.3\times 10^6).(9.8\times 10^{-4})=42.14\times 10^(2)\\\\\Rightarrow (4.3\times 10^6).(9.8\times 10^{-4})=\bold{4214}[/tex]...........................(1)
Consider the second expression,
[tex]\Rightarrow (2.9\times 10^7).(1.6\times 10^{-9})=4.64\times 10^{7-9}\\\\\Rightarrow (2.9\times 10^7).(1.6\times 10^{-9})=4.64\times 10^{-2}\\\\\Rightarrow (2.9\times 10^7).(1.6\times 10^{-9})=\bold{0.0464}[/tex] .........................(2)
Consider the third expression,
[tex]\frac{(4.7\times 10^3).(8.6\times 10^{-7})}{(3.8\times 10^-4).(6.1\times 10^2)}\\\\ = \frac{40.42\times 10^{3-7}}{23.18\times 10^{-4+2}} \\\\= \frac{40.42\times 10^{-4}}{23.18\times 10^{-2}}\\\\=\frac{40.42}{23.18}\times 10^{-4+2} \\\\=1.74\times 10^{-2}\\\\=\bold{0.0174}[/tex] .....................(3)
Consider the fourth expression,
[tex](4.9\times 10^3).(7.4\times 10^{-6})\\\\=36.26\times 10^{3-6}\\\\=36.26\times 10^{-3}\\\\=\bold{0.03626}[/tex] ....................................(4)
Now we solve the last expression,
[tex]\frac{(3.9\times 10^{5}).(8.7\times 10^{-3})}{(3.7\times 10^{-5}).(2.9\times 10^{8})}\\\\= \frac{(33.93\times 10^{5-3})}{(10.73\times 10^{-5+8})}\\\\= \frac{(33.93\times 10^{2})}{(10.73\times 10^{-3})}\\\\= \frac{33.93}{10.73}\times 10^{2+3}\\\\= 3.162162\times 10^5\\\\=\bold{316216.2}[/tex] ..........................(5)
From (1), (2), (3), (4) and (5),
The solutions of the mathematical expressions from least to greatest would be,
0.0174, 0.03626, 0.0464, 4214, 316216.2
Learn more about expression in mathematics here:
https://brainly.com/question/13947055
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