Exponent: 5 Mistakes to Avoid
Raises a number to a power. The maths is not complicated, but a handful of errors come up again and again in this and related math & geometry calculations. Here is what to watch for.
Rounding is a common source of small errors. Keep full precision during intermediate steps and round only the final answer to the number of decimal places or significant figures the question asks for.
Calculators are best used to check working rather than replace it, especially for exams where method marks count. Work the problem by hand first, then confirm with the calculator.
1. Rounding too early
Rounding intermediate steps can throw the final answer off.
2. Mixing units
Measurements must all be in the same unit before applying the formula.
3. Population versus sample formulas
Sample standard deviation divides by n − 1; population divides by n.
4. Using the wrong percentage base
A percentage change is measured against the original value, not the new one.
5. Confusing radius and diameter
Many circle formulas use the radius, which is half the diameter.
The correct method
aᵇ = a × a × … (b times).
For example, with these inputs:
- Base: 2
- Exponent: 10
the calculator returns:
- aᵇ: 1,024
Related calculations
- GCD (HCF) Calculator: Finds the highest common factor.
- LCM Calculator: Finds the lowest common multiple.
- Factorial Calculator: Calculates n factorial up to 170.
- Square Root Calculator: Finds the square root.
The Exponent Calculator applies the formula consistently, so it is a quick way to double-check your own working.
Run your own numbers: Exponent Calculator