Explain how the Quotient of Powers Property was used to simplify this expression. 5 to the fourth power, over 25 = 52

Step-by-step explanation:

I'm not sure if you had a typographical error with this statement, "5 to the fourth power, over 25 = 52."

According to the Quotient Rule of Exponents:

Method 1:

In order for you apply the Quotient Rule, the base must be the same. Since 5 is a factor of 25, then you could rewrite 25 as 5². Doing so will give you the following exponential expression:

Method 2:

Even if you solve the given problem manually, you'd still get the same

Both methods produced the same result, proving that the correct answer is 25.

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1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

look at photo