Exponents & PowersATI TEAS 7 cheat sheet

Repeated multiplication, with rules

9 key facts Reviewed Oct 2026

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Basics

aⁿ means a multiplied by itself n times
2⁴ = 2×2×2×2 = 16
Any nonzero base to the zero power = 1

Rules

Multiply same base → add exponents (x³·x² = x⁵)
Divide same base → subtract exponents (x⁵/x² = x³)
Power of a power → multiply exponents ((x²)³ = x⁶)

Negative Exponents

x⁻ⁿ = 1/xⁿ — move it across the fraction bar
2⁻³ = 1/8

Trap

−3² = −9 (exponent binds first); (−3)² = 9

Key takeaway

Repeated multiplication, with rules

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