1. Exponents & Powers (xⁿ)
Use the xⁿ (caret ^) button for exponentiation.
Problem: Calculate 2⁵
- Step 1: Press 2
- Step 2: Press xⁿ
- Step 3: Press 5
- Step 4: Press enter
Result Output: 32
2. Square Roots (√x)
Calculate exact square roots using the √ button.
Problem: Calculate √144
- Step 1: Press √
- Step 2: Press 1 4 4
- Step 3: Press )
- Step 4: Press enter
Result Output: 12
Deeper Explanation
The keyboard performs three operations that are related, yet differ from each other: x² is squaring the value, xⁿ is raising to the power, which can be set in the process of entering a calculation, and √ is a square root. The operation that follows the xⁿ sign acts on the entry that follows immediately before the xⁿ sign. Thus, an expression consisting of more than one operation requires parentheses to make the calculator understand what element the exponent belongs to. Negative exponents and roots from negative numbers act as they would be calculated by hand — the negative exponent gives a reciprocal and a negative square root is imaginary, hence no result is given.
More Worked Examples
Squaring a sum
Problem: (4 + 3)²
Enter (, 4, +, 3, ), then x², then enter.
Result: 49
Negative exponent
Problem: 2⁻³
Enter 2, xⁿ, (-), 3, then enter.
Result: 0.125
Nested roots and powers
Problem: √(9) + 3²
Enter √, 9, ), +, 3, x², then enter.
Result: 12
Common Mistakes & Tips
- If there are no parentheses, the calculator will apply the exponent to just the term preceding the xⁿ button and not the whole expression — make sure to include parentheses around the base with multiple terms.
- Lack of a closing parenthesis after the square root function is one of the most frequent input mistakes, since the calculator must determine what exactly is inside the root.
- It should be noted that x⁻¹ computes the reciprocal (1 ÷ value), while xⁿ applied to a negative number provides a negative power calculation.
Guide FAQs
Q: How do I input a negative exponent?
Type xⁿ for the exponent and use the (-) button and not the subtract button to make it a negative exponent — such as 2, xⁿ, (-), 3 for 2⁻³.
Q: Why do I need to use parentheses when finding the square of an addition?
The x² and xⁿ buttons work on only one single number next to them. Using brackets for an expression (4 + 3) means that you tell the calculator that the entire sum is your base.
Q: What happens if I try to find the square root of a negative number?
It will result in an error message because there is no such thing as a square root of a negative number.