FIRST TO ANSWER THIS QUESTION WILL BE MARKED AS BRAINLIEST AND ALSO I WILL FOLLOW THAT PERSON.

[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{625\times (3\times2)^3}{3^2\times10^2}}[/tex]
[tex]\mathsf{= \dfrac{625\times(6)^3}{3^2\times10^2}}[/tex]
[tex]\mathsf{= \dfrac{625\times(6^3)}{3^2\times10^2}}[/tex]
[tex]\mathsf{= \dfrac{625\times6^3}{3^2\times10^2}}[/tex]
[tex]\mathsf{= \dfrac{625\times216}{9\times100}}[/tex]
[tex]\mathsf{= \dfrac{135,000}{900}}[/tex]
[tex]\mathsf{= \dfrac{135,000\div900}{900\div900}}[/tex]
[tex]\mathsf{= \dfrac{150}{1}}[/tex]
[tex]\mathsf{= 150\div1}[/tex]
[tex]\mathsf{= 150}[/tex]
[tex]\huge\textsf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{150}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]