Exponents
xn = x1 × x2 × ... × xnExamples
- 25 = 2 × 2 × 2 × 2 × 2 = 32
- 57 = 5 × 5 × 5 × 5 × 5 × 5 × 5 = 78.125
Exponent Operations
Multiplication
ax × by = (a × b)x + yDivision
ax ÷ by = (a ÷ b)x - yExponent
axy = ax × yZero Exponent
a0 = 1
Examples
- 50 = 1
- 70 = 1
- 1000 = 1
- 28,670 = 1
One Exponent
a1 = a
Examples
- 51 = 5
- 71 = 7
- 1001 = 100
- 28,671 = 28,67
Fractional Exponent
x y⁄z = z√(xy)
Examples
- 5 1⁄2 = 2√5
- 7 2⁄3 = 3√(52)