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
Answer:
The answers are B and C. The other person is wrong.
Step-by-step explanation:
