If 5 a = 3125, then the value of 5 (a - 3) is: Options: A . &nbsp25 B . &nbsp125 C . &nbsp625 D . &nbsp1625

Answer: Option A 5 a = 3125 \(\Leftrightarrow \) 5 a = 5 5 a = 5. So, 5 (a - 3) = 5 (5 - 3) = 5 2 = 25.

If 5a = 3125, then the value of 5(a

Question

If 5^a = 3125, then the value of 5^(a^{- 3)} is:

Options:

A . 25

B . 125

C . 625

D . 1625

Answer: Option A

5^a = 3125 \(\Leftrightarrow \) 5^a = 5⁵

a = 5.

So, 5^(a ^{- 3)} = 5^{(5 - 3)} = 5² = 25.

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