How BODMAS Exponents Calculator Works
BODMAS Exponents Calculator works by evaluating the base raised to the power (Orders) as the second step in BODMAS — after Brackets and before Division, Multiplication, Addition, and Subtraction.
Enter a base number and a power value. The calculator computes the result and shows the expanded multiplication form for integer powers up to 10.
BODMAS Exponents Calculator handles negative bases, fractional exponents, and zero exponents. Wrap negative bases in parentheses: (-2)² = 4. Without parentheses, -2² = -(4) = -4.
BODMAS Exponents Formula
The BODMAS Exponents formula applies 4 core rules — Product Rule, Quotient Rule, Power of Power, and Zero Exponent — to evaluate expressions with powers.
Use ^ to input exponents: 4^2 for 4 squared, 2^3 for 2 cubed, 9^0.5 for √9 = 3.
BODMAS Exponents Conversions Chart
The BODMAS Exponents conversions chart shows 20 common power values for bases 2 through 10.
| Expression | Result | Expression | Result |
|---|---|---|---|
| 2² = | 4 | 2³ = | 8 |
| 2⁴ = | 16 | 2⁵ = | 32 |
| 2⁸ = | 256 | 2¹⁰ = | 1024 |
| 3² = | 9 | 3³ = | 27 |
| 4² = | 16 | 4³ = | 64 |
| 5² = | 25 | 5³ = | 125 |
| 6² = | 36 | 7² = | 49 |
| 8² = | 64 | 9² = | 81 |
| 10² = | 100 | 10³ = | 1000 |
| 10⁶ = | 1,000,000 | 10⁹ = | 1,000,000,000 |
Fractional exponents produce roots: x^(1/2) = √x, x^(1/3) = ∛x. Negative exponents produce reciprocals: x⁻ⁿ = 1/xⁿ.