Power Functions and Polynomials.

Odd Power Functions.

Even Power Functions.

End Behavior.

Powers and Radicals I

Power Functions and Polynomial Functions.

End behavior of Power Functions.

Intercepts and Turning Points.

Powers and Radicals II

This is the 2nd video on Powers and Radicals.

Powers and Radicals

0:00 Introduction

0:18 Properties of Powers

0:41 Product Rule of Powers

2:57 Power to a Power Rule

5:25 Quotient Rule of Powers

7:45 Zero power

9:11 Negative exponent in the Numerator

11:57 Negative exponent in the Denominator

12:38 Extract Roots: SQRT of 48 and.....

15:46 Activity: Match each expression to an equivalent expression. 18:18 Nth Square Root of x^n when n = 2. f(x) = absolute value of (x). 21:50 Nth Square Root of x^n when n = 3. f(x) = x.

24:03 Nth Square Root of x^n equals Abs(x) when n is even and equals x when n is odd.

24:43 Exponent form of SQRT(x).

26:23 Exponent form of Cubic Root of (x).

27:16 Examples of Rewriting given expressions in Radical form into expressions with Rational Exponent.

29:16 Activity: Fill the empty cells with the right expression with the restrictions.

31:29 The Root of a Product is equal to the product of the roots of each factor.

32:59 Example: Extract the roots and rewrite the cubic roof of ( 8x^6) using Radicals and Powers.