Why this chapter matters
Exponent rules make very large, very small, repeated, and root-based quantities manageable across algebra and science.
What you will learn
- Apply product, quotient, power, zero, and negative exponent rules.
- Simplify square roots and connect radicals to rational exponents.
- Calculate with scientific notation while preserving scale.
Lessons in this chapter
- Exponent lawsRewrite repeated multiplication using consistent exponent rules.
- Negative and zero exponentsInterpret reciprocal powers and the zero-power rule.
- Radicals and rational exponentsMove between root and exponent notation. Read the full guide →
- Scientific notationRepresent and calculate with extreme magnitudes.
Study task
Express the distance from Earth to the Sun in scientific notation, then compare it with a second astronomical distance using a ratio.
Chapter checkpoint
Simplify x^3 * x^5 / x^2 for x != 0.
Add exponents in the product and subtract in the quotient: x^(3+5-2) = x^6.