Is the equations (4√8)-²⁴ • (√8)¹⁶ = 8-⁴⁸ True or false? Explain your reasoning.

(Keep it simple. Single sentence)

1 answer

True; both sides simplify to the same value, as (4√8) simplifies to 8², and (√8)¹⁶ simplifies to 8¹², leading to (8²)(8¹²) = 8⁴⁸, which matches 8⁻⁴⁸.