I cant see the picture please take a better one and i will try to help you
The way I figured this one out was saying that if it takes 2lbs to stretch it to 12 inches and 5lbs to stretch to 18 inches that means that 3 additional pounds = 6 inches. Therefore, each additional pound is 2 inches. We know already that with 2 lbs it was 12 inches in length and we can also say that 2 lbs = 4 inches. So subtract 4 from 12 and you end up with the answer of 8 inches.
Answer:
5^3*5^-7 = 1/5^4 b. is true = 625
5^3*5^-7 = 5^-4 c. is true = 625
Step-by-step explanation:
b. Left hand side
Simplify the following:
5^3/5^7
Combine powers. 5^3/5^7 = 5^(3 - 7):
5^(3 - 7)
3 - 7 = -4:
5^(-4)
5^4 = (5^2)^2:
1/(5^2)^2
5^2 = 25:
1/25^2
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
Answer: 1/625
Right hand side:
Simplify the following:
1/5^4
5^4 = (5^2)^2:
1/(5^2)^2
5^2 = 25:
1/25^2
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
Answer: 1/625
_____________________________
c. Left hand side (see above)
Right hand side:
Simplify the following:
5^(-4)
5^4 = (5^2)^2:
1/(5^2)^2
5^2 = 25:
1/25^2
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
Answer: 1/625