Question

99 points!!!! Please finish this worksheet. Show your work!!!

Answer 1

#1

`(3^4)/(3^5) =3^(4-5) = 3^(-1) = (1)/(3)`

#2

`(-2.6)^4 * (-2.6)^(-4) = (-2.6)^(-4+4)= (-2.6)^0 =1`

#3

`4c^(-5) c^2= (4c^2)/(c^(5)) = 4c^(2-5)= 4c^(-3) = (4)/(c^3)`

#4

`(3x^2)/(9x^5) = (3)/(9) * (x^2)/(x^5) = (1)/(3) * x^(2-5) = (1)/(3) * x^(-3) = (1)/(3x^3)`

#5

`\sf If~it~was~3* 10^3~then~it~would~be~in~scientific~notation.`

#6

`\sf If~ it~ was~ 1.2 * 10^(-6)~then~it~would~be~in~scientific~notation.`

#7

`-2.7 * 10^(-2) = -2.7 * 0.01 = -0.027`

#8

`4* 10^6 = 4* 1,000,000=4,000,000`

#9

`0.0031=3.1 * 10^(-3)`

#10

`741,000 = 7.41 * 10^5`

#11

`(6* 10^6)* (7* 10^(-3)) = 6 * 7 * 10^6 * 10^(-3) = 42 * 10^(-3+6) = 42 * 10^3\\=4.2 * 10^4`

#12

`(1.2*10^(-3)) * (4* 10^5) = 1.2 * 4 * 10^(-3) * 10^5 = 4.8 * 10^(-3)* 10^5 \\=4.8 * 10^(-3+5)= 4.8 * 10^2`

Answer 2

`1.~ (3^4)/(3^5) = (3^4)/(3^4 * 3)= (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* c^(-3)=4* (1)/(c^3) = (4)/(c^3) \\ 4. (3x^2)/(9x^5) =(3x^2)/(3x^2* 3x^3) = (1)/(3x^3)`

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


`7.~-2.7 * 10^(-2)=-2.7 * (1)/(10^2) = (-2.7)/(100) = -0,027 \\ 8. ~4*10^6=4*1000000=4000000 \\ 9.~0.0031= (3.1)/(1000) =(3.1)/(10^3) =3.1* 10^(-3) \\ 10.~741,000=7.41*10^5 \\ 11.~(6*10^6)*(7*10^(-3))=6*7 *10^(6-3)=42*10^3=4.2*10^4 \\ 12. ~(1.2* 10^(-3))*(4*10^5)=1.2*4*10^(-3+5)=4,8*10^2`