SAT Math · 7 min read · Published February 7, 2026

    SAT Exponents and Radicals: The Rules You Must Know

    A cheat sheet for Digital SAT exponent rules, radical simplification, and the fractional-exponent conversion that unlocks half these problems.

    Core Exponent Rules

    These show up on every Digital SAT.

    • a^m · a^n = a^(m+n)
    • a^m / a^n = a^(m−n)
    • (a^m)^n = a^(mn)
    • a^0 = 1
    • a^(−n) = 1/a^n
    • a^(1/n) = n-th root of a

    Radicals Are Just Fractional Exponents

    √x = x^(1/2), ∛x = x^(1/3). Converting radicals to fractional exponents often makes a messy SAT problem collapse into a clean one.

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