Respuesta :

Julik
[tex]1.~ \frac{3^4}{3^5} = \frac{3^4}{3^4 \times 3}= \frac{1}{3} \\ 2.~(-2.6)^4(-2.6)^{-4}=(-2.6)^{4+(-4)}=(-2.6)^0=1 \\ 3~4c^{-5}c^2=4c^{-5+2}=4c^{-3}=4\times c^{-3}=4\times \frac{1}{c^3} = \frac{4}{c^3} \\ 4. \frac{3x^2}{9x^5} =\frac{3x^2}{3x^2\times 3x^3} = \frac{1}{3x^3} [/tex]

Scientific Notation A positive number is written in scientific notation if it is written as a x 10n where the coefficient a has a value such that 1 ≤ a < 10 and n is an integer.
5.  No 0.3<1
6.  No 12>10

[tex]7.~-2.7 \times 10^{-2}=-2.7 \times \frac{1}{10^2} = \frac{-2.7}{100} = -0,027 \\ 8. ~4*10^6=4*1000000=4000000 \\ 9.~0.0031= \frac{3.1}{1000} =\frac{3.1}{10^3} =3.1\times 10^{-3} \\ 10.~741,000=7.41*10^5 \\ 11.~(6\times10^6)\times(7\times10^{-3})=6\times7 \times10^{6-3}=42\times10^3=4.2\times10^4 \\ 12. ~(1.2\times 10^{-3})\times(4\times10^5)=1.2\times4\times10^{-3+5}=4,8\times10^2[/tex]

TSO
#1
[tex]\frac{3^4}{3^5} =3^{4-5} = 3^{-1} = \frac{1}{3}[/tex] 

#2
[tex](-2.6)^4 \times (-2.6)^{-4} = (-2.6)^{-4+4}= (-2.6)^0 =1[/tex]

#3
[tex]4c^{-5} c^2= \frac{4c^2}{c^{5}} = 4c^{2-5}= 4c^{-3} = \frac{4}{c^3}[/tex] 

#4
[tex]\frac{3x^2}{9x^5} = \frac{3}{9} \times \frac{x^2}{x^5} = \frac{1}{3} \times x^{2-5} = \frac{1}{3} \times x^{-3} = \frac{1}{3x^3}[/tex] 

#5
[tex]\sf If~it~was~3\times 10^3~then~it~would~be~in~scientific~notation.[/tex] 

#6
[tex]\sf If~ it~ was~ 1.2 \times 10^{-6}~then~it~would~be~in~scientific~notation.[/tex]

#7
[tex]-2.7 \times 10^{-2} = -2.7 \times 0.01 = -0.027[/tex] 

#8
[tex]4\times 10^6 = 4\times 1,000,000=4,000,000[/tex] 

#9
[tex]0.0031=3.1 \times 10^{-3}[/tex] 

#10
[tex]741,000 = 7.41 \times 10^5[/tex] 

#11
[tex](6\times 10^6)\times (7\times 10^{-3}) = 6 \times 7 \times 10^6 \times 10^{-3} = 42 \times 10^{-3+6} = 42 \times 10^3\\=4.2 \times 10^4[/tex] 

#12
[tex](1.2\times10^{-3}) \times (4\times 10^5) = 1.2 \times 4 \times 10^{-3} \times 10^5 = 4.8 \times 10^{-3}\times 10^5 \\=4.8 \times 10^{-3+5}= 4.8 \times 10^2[/tex]