Question

Simplify the expression: $\frac{{25}^4\times 5^2}{{25}^5}$ .

• A. 0
• B. 1
• C. 5
• D. 25

Answer 1

Answer: (B)

1

On simplifying,

$\Rightarrow \frac{{25}^4\times 5^2}{{25}^5}$

$\Rightarrow \frac{(5^2{)}^4\times 5^2}{(5^2{)}^5}$

$\Rightarrow \frac{5^8\times 5^2}{5^{10}}$

$\Rightarrow \frac{5^{10}}{5^{10}}=1$.

Therefore, option $B$ is correct.