Question

simplify:3^5×10^5×25/5^7×6^5

Answer 1

3^5= 729
10^5= 100000
5^7=78125
6^5= 7776

put values

729×100000×25/78125×7776
= 3
plz do calculation urself
hope it will help you

Answer 2

Given,

• $3^{5} * 10^5 * 25/5^7 * 6^5$ is given.

To find,

• We have to simplify the given expression.

Solution,

The simplified form of  $3^{5} * 10^5 * 25/5^7 * 6^5$ is 1.

We can simplify the given expression by using the laws of the exponent.          

             = 3⁵ * 10⁵ * 25/ 5⁷ * 6⁵

             = 3⁵ * 10⁵ * 5² / 5⁷ * 6⁵

             = 3⁵ * 10⁵ * 5²⁻⁷ /6⁵   [$a^m /a^n = a^{m-n}$]

             = 3⁵ * 10⁵ * 5⁻⁵ / 6⁵   [ $a^{-m} = 1/a^m$]

             = 243 * 100000/ 3125 * 7776

            = 24300000/24300000

            = 1

Hence, the simplified form of  $3^{5} * 10^5 * 25/5^7 * 6^5$ is 1.