Simplity (4^-2)^5
A.1/4^10
B. 4^3
C.1/4^3
D. 4^10

Step-by-step explanation:

The given expression is :

We need to simplify the above expression.

We know that,

or

So, the simplified form of the given expression is . Hence, the correct option is (A).

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).