Question

8^2x8^-5

Answer 1

Simplify the following:
8^2/8^5
For all exponents, a^n/a^m = a^(n-m). Apply this to 8^2/8^5.
Combine powers. 8^2/8^5 = 8^(2-5):
8^2-5
Subtract 5 from 2.
2-5 = -3:
8^-3
In order to evaluate 8^3 express 8^3 as 8×8^2.
8^3 = 8×8^2:
1/(8×8^2)
Evaluate 8^2.
8^2 = 64:
1/(8×64)
Multiply 8 and 64 together.
8×64 = 512:
Answer: |
| 1/512