Unit 2 Review: Exponents
Whole-number & integral exponents • Exponent laws • Scientific notation • Rational exponents
Whole-Number Exponents
Zero & Negative Exponents
Exponent Laws
Scientific Notation
Rational Exponents ↔ Radicals
What You Should Be Able To Do
- Evaluate expressions with whole-number and integral (zero/negative) exponents.
- Apply exponent laws: product, quotient, power of a power, power of a product/quotient.
- Write numbers in scientific notation and standard form; compute with scientific notation.
- Convert between radicals and rational exponents; simplify expressions with rational exponents.
- Explain and justify steps using properties of exponents in algebraic contexts.
Progress autosaves to this device.
Video Library
Exponent Laws (All Rules)
Product, quotient, power rules with variables.
youtube.com – “exponent rules khan academy”Zero & Negative Exponents
Why a0=1 and how negative exponents create reciprocals.
youtube.com – “zero and negative exponents math antics”Scientific Notation
Write, compare, multiply/divide, add/subtract with powers of 10.
youtube.com – “scientific notation operations eddie woo”Rational Exponents & Radicals
Convert am/n ↔ ⁿ√(a^m) and simplify.
youtube.com – “rational exponents to radicals khan academy”Unit 2 Quizzes
Downloadable Review
Quick Practice Scratchpad
Try: simplify \((3x^2y^{-1})^3\), write \(0.000027\) in scientific notation, convert \(27^{2/3}\) to radical form.