5x=125 to the 6th power over 25 to the 4th power
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.
looks good to me
I suggest inputting your problem into the wolframalpha calculator. You will need to format it like this: 5x= 125^6/25^4
Blessings!
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.
To solve the equation 5x = (125^6) / (25^4), we need to simplify the expression on the right side first.
Let's start by simplifying the numerator, (125^6).
To find the value of (125^6), we raise 125 to the power of 6:
125^6 = 244,140,625
Next, let's simplify the denominator, (25^4).
To find the value of (25^4), we raise 25 to the power of 4:
25^4 = 390,625
Now, let's substitute the values back into the equation:
5x = 244,140,625 / 390,625
To simplify the right side further, we can divide the numerator by the denominator:
5x = 625
Finally, to isolate x, we can divide both sides of the equation by 5:
x = 625 / 5
Simplifying further:
x = 125
So, the solution to the equation 5x = (125^6) / (25^4) is x = 125.