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Curriculum · Algebra · Polynomials

Exponents & Radicals

Exponent laws, radical manipulation, and rationalization under pressure.

Objectives

  • Apply exponent laws fluently
  • Denest and rationalize radicals
  • Compare exponential quantities

The full interactive edition of this lesson ships in v1.5. The topic is live everywhere else — the problems below feed your Polynomials mastery now.

Train the topic

●●●○○What is the remainder when x3−2x2+3x−4x^3 - 2x^2 + 3x - 4 is divided by x−2x - 2?AMC 10 style●●●○○What is the sum of the coefficients of (2x−1)4(2x - 1)^4?AMC 10 style●●●○○If x2+y2=25x^2 + y^2 = 25 and x+y=7x + y = 7, what is xyxy?AMC 10 style