Question

Simplify 8^10 ÷ 8^5. 8^15 8^5 8^2 8^50

Answer 1

Answer:

8^5      Disclaimer this is not the complete simplification. (see below)

Step-by-step explanation:

Simplify the following:

8^10/8^5

Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to 8^10/8^5.

Combine powers. 8^10/8^5 = 8^(10 - 5):

8^(10 - 5)

Hint: | Subtract 5 from 10.

10 - 5 = 5:

8^5

Hint: | Compute 8^5 by repeated squaring. For example a^7 = a a^6 = a (a^3)^2 = a (a a^2)^2.

8^5 = 8×8^4 = 8 (8^2)^2:

8 (8^2)^2

Hint: | Evaluate 8^2.

8^2 = 64:

8×64^2

Hint: | Evaluate 64^2.

| | 6 | 4

× | | 6 | 4

| 2 | 5 | 6

3 | 8 | 4 | 0

4 | 0 | 9 | 6:

8×4096

Answer 2

Answer:

8^5

Step-by-step explanation:

When we divide exponents with the same base, we subtract the exponents

8^10 ÷ 8^5

8^ (10-5)

8^5