Question

Question 12(Multiple Choice Worth 1 points)

Answer 1

Answer:

$\frac1{25}$

Step-by-step explanation:

Hello!

Let's use a couple of exponent rules:

• $\frac{a^x}{a^b} = a^{x - b}$
• $a^{-x} = \frac{1}{a^x}$

Let's utilize the first rule and simplify the fraction.

Simplify

• $\frac{5^4}{5^6}$
• $5^{4 - 6}$
• $5^{-2}$

Now, we can utilize the second exponent rule, as we have a base to the power of a negative number.

Simplify

• $5^{-2}$
• $\frac1{5^2}$
• $\frac1{25}$

The answer is option 1, $\frac{1}{25}$.