im so confused with zero and negative exponent please answer all and help me please please !!!!!
1) 8p^-5 q^0 r^6/ 16p q^2 r^10
2)36x^10 y^-5/ 12x^-3 y^-7
3) 2^-3 + 4^-1
4) (5^-1 x^-3 y^4)^-2 (x^5 y^-3)^-1
5) w^3.w^-5
1) 8p^-5 q^0 r^6/ 16p q^2 r^10
2)36x^10 y^-5/ 12x^-3 y^-7
3) 2^-3 + 4^-1
4) (5^-1 x^-3 y^4)^-2 (x^5 y^-3)^-1
5) w^3.w^-5
-
A ZERO exponent makes the factor equal to 0, unless it is 0^0 which is undefined.
A NEGATIVE exponent means to invert the factor
................X^(-1)= 1/X...........X^(-3)=1/(X^3)............…
1) 8p^-5 q^0 r^6/ 16p q^2 r^10=
8p^-5(1) r^6/ 16p q^2 r^10=
8p^-5 r^6
***************=.................reduc… the 8/16
16p q^2 r^10
p^-5 r^6
***************=......................… the p^(-5) to the bottom
2p q^2 r^10
........... r^6
********************=.................… the p"s
2p(p^5) q^2 r^10
........... r^6
*****************=.................loo… at the r factors
2p^6 q^2 r^10
Where are there MORE r's??(bottom).............How many more??(4)
........... 1
*****************=ANSWER
2p^6 q^2 r^4
2)36x^10 y^-5/ 12x^-3 y^-7=
36x^10 y^-5
***************=................reduce 36/12
12x^-3 y^-7
3x^10 y^-5
***************=......................… all factors with a negative exponent to the "other place"
..1x^-3 y^-7
3x^10 x^3y^7...................Multiply the x's
****************=................Look at the y's and ask the smae two questions (Where......and how many.....)
.........y^5
3x^13y^2................ANSWER
3) 2^-3 + 4^-1=
2^-3 + 4^-1
*****....*****=......................I…
...1.........1
..1...........1
****..+..****=
2^3......4^1
..1...........1
****..+..****=
..8..........4
..1...........2
****..+..****=
..8..........8
3/8.................ANSWER
4) (5^(-1) x^-3 y^4)^(-2)* (x^5 y^(-3))^(-1)=..................Multiply the outside exponent times each factor
A NEGATIVE exponent means to invert the factor
................X^(-1)= 1/X...........X^(-3)=1/(X^3)............…
1) 8p^-5 q^0 r^6/ 16p q^2 r^10=
8p^-5(1) r^6/ 16p q^2 r^10=
8p^-5 r^6
***************=.................reduc… the 8/16
16p q^2 r^10
p^-5 r^6
***************=......................… the p^(-5) to the bottom
2p q^2 r^10
........... r^6
********************=.................… the p"s
2p(p^5) q^2 r^10
........... r^6
*****************=.................loo… at the r factors
2p^6 q^2 r^10
Where are there MORE r's??(bottom).............How many more??(4)
........... 1
*****************=ANSWER
2p^6 q^2 r^4
2)36x^10 y^-5/ 12x^-3 y^-7=
36x^10 y^-5
***************=................reduce 36/12
12x^-3 y^-7
3x^10 y^-5
***************=......................… all factors with a negative exponent to the "other place"
..1x^-3 y^-7
3x^10 x^3y^7...................Multiply the x's
****************=................Look at the y's and ask the smae two questions (Where......and how many.....)
.........y^5
3x^13y^2................ANSWER
3) 2^-3 + 4^-1=
2^-3 + 4^-1
*****....*****=......................I…
...1.........1
..1...........1
****..+..****=
2^3......4^1
..1...........1
****..+..****=
..8..........4
..1...........2
****..+..****=
..8..........8
3/8.................ANSWER
4) (5^(-1) x^-3 y^4)^(-2)* (x^5 y^(-3))^(-1)=..................Multiply the outside exponent times each factor
12
keywords: 10,help,pts,my,math,EXPONENT,me,Help,in,NEGATIVE,please,Help me in my math ! NEGATIVE EXPONENT help please 10pts !