Question

Which expressions are equivalent to


`{5}^(18)`
select all that apply




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Answer 1

`{5}^(12) * {5}^(6) and \: \frac{ {5}^(24) }{ {5}^(6) } \\ option \: b \: and \: c`

Explanation:

`{a}^(b) * {a}^(c) = {a}^((b + c)) \\ \frac{ {a}^(b) }{ {a}^(c) } = {a}^((b - c))`

`{5}^(12) * {5}^(6) = {5}^((12 + 6) = {5}^(18) \\ \frac{ {5}^(24) }{ {5}^(6) } = {5}^((24 - 6)) = {5}^(18)`

Answer 2

B and C

Explanation:

(5⁷)¹¹ = 5⁷⁷

5⁹ × 5² = 5¹¹