(MC)

Explain how the Quotient of Powers was used to simplify this expression. (2 points)

2 to the fifth power, over 8 = 22

Group of answer choices

By finding the quotient of the bases to be one fourth , and cancelling common factors

By finding the quotient of the bases to be one fourth , and simplifying the expression

By simplifying 8 to 23 to make both powers base two, and subtracting the exponents

By simplifying 8 to 23 to make both powers base two, and adding the exponents

Suppose a pendulum is l meters long. the time, t,in seconds that it tales to swing back and forth once is given by t=2.01

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

What is the sum of the geometric series in which a1 = 7, r = 3, and an = 1,701? hint: cap s sub n equals start fraction a sub one left parenthesis one minus r to the power of n end power right parenthesis over one minus r end fraction comma r ≠ 1, where a1 is the first term and r is the common ratio