How do you solve this problem in the photo?

5^2

Step-by-step explanation:

Since the base are all the same, you will add the exponents and let the exponents stay the same.

5^3  * 5^4= 5^7 * 5^-5= 5^2

25

Step-by-step explanation:

Using the rule of exponents

× ⇔

The rule can be extended to include more than 3 terms.

Given

5³ × ×

=

= 5²

= 25

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.

explanation:

step-by-step explanation: