Question

Select All the correct answers

Answer 1

Answer:

OPTION B - 25

Step-by-step explanation:

We know that:

$(a^x)^y = a^{x . y}$

$\frac{a^x}{a^y} = a^{x - y}$

$a^x . a^y = a^{x + y}$

The given problem uses these results to arrive at the answer.

$(5^2)^{-3} = 5^{2 . (-3)} = 5^{-6}$

Now, $5^{-6 + 4} = 5^{-2}$

Now, $\frac{5^{-2}}{5^{-4}} = 5^{-2 -(-4)} = 5^{(-2 + 4)} = 5^2$

⇒ 5² = 25.

∴ The answer is 25. (Option B)