Question

Which expressions are equivalent to (8^3)^2/8−^5? Select all that apply.
A). 8^5/8^-5
B). 8^6/8^-5
C). 8^0
D). 8^1
E). 8^10
F). 8^11

Answer 1

(8^a)^b = 8^(ab)
(8^3)^2 = 8^6

8^a/8^b = 8^(a-b)
6-(-5) = 11, so I'd go with F

Answer 2

If your question means:

( 8³ )² / 8 ⁻⁵

then

( 8³ )² = 8⁶

( 8³ )² / 8 ⁻⁵ = 8⁶ / 8 ⁻⁵

Answer B

8 ⁻⁵ = 1 / 8⁵

( 8³ )² / 8 ⁻⁵ = 8⁶ / ( 1 / 8⁵ ) = 8⁶ ∙ 8⁵ = 8¹¹

Answer F