Question

b) \\(\frac{5^6}{5^4} =\\)

Explanation:

Step1: Apply exponent rule

When dividing exponents with the same base, subtract the exponents: $\frac{a^m}{a^n}=a^{m - n}$. Here, $a = 5$, $m = 6$, $n = 4$.
So, $\frac{5^6}{5^4}=5^{6 - 4}$.

Step2: Calculate the exponent

Simplify the exponent: $6 - 4 = 2$. So, $5^{6 - 4}=5^2$.

Step3: Evaluate $5^2$

$5^2 = 5\times5 = 25$.

Answer:

25