Question

Which of the following expressions is equal to 5^6/5^2

A) 5.5.5

B) 1/5.5.5.5

C) 5.5.5.5

D) 3

Answer 1

Answer:

$\dfrac{5^6}{5^2}$ = $5{\cdot}5{\cdot}5{\cdot}5$

Step-by-step explanation:

The given expression is :

$\dfrac{5^6}{5^2}$

We need to find this expression is equal to what.

$\dfrac{5^6}{5^2}=\dfrac{5^4\times 5^2}{5^2}\\\\=5^4\\\\=5\times 5\times 5\times 5\\\\\text{or}\\\\=5{\cdot}5{\cdot}5{\cdot}5$

Hence, $\dfrac{5^6}{5^2}$ is equal to $5{\cdot}5{\cdot}5{\cdot}5$. Hence, the correct option is (c).