Question

5x=125 to the 6th power over 25 to the 4th power

Answer 1

so 5x= 125⁶/25⁴

well 25 is 5²
and 125 is 5⁵

5x= (5^3)^6)/((5^2)^4)=5^18/5^8 = 5^10
dividing by 5

x= 5^9

check my thinking.

Answer 2

looks good to me

Answer 3

I suggest inputting your problem into the wolframalpha calculator. You will need to format it like this: 5x= 125^6/25^4
Blessings!

Answer 4

I suggest inputting your problem into the wolframalpha calculator. You will need to format it like this: 5x= 125^6/25^4

While this is true it will not enable the student to demonstrate the use of powers. Many questions are not about the answer, rather about the learning outcomes that are demonstrated when answering the question.