How to Put an Exponent on a Calculator

To put an exponent on a calculator, you typically use the ^ (caret) key, the xy or yx key, or the EE/EXP key for powers of 10. The exact key depends on your calculator model, but the general process is: type the base, press the exponent key, type the exponent, then press equals.

Formula

The calculation performed is result = base^exponent. In words: you multiply the base by itself as many times as the exponent indicates. For example, 2³ means 2 × 2 × 2 = 8. The base is the number being multiplied, the exponent is how many times it is multiplied, and the result is the final value. The formula works for positive, negative, and fractional exponents, though the calculator handles those automatically.

Worked Example

Using the defaults from the calculator above: base = 2, exponent = 10.

1. Start with the base: 2
2. Multiply it by itself 10 times: 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
3. Step by step: 2×2=4, 4×2=8, 8×2=16, 16×2=32, 32×2=64, 64×2=128, 128×2=256, 256×2=512, 512×2=1024
4. Result: 1024

The calculator returns 1024.0000 with 4 decimal places, which is the same as 1024 exactly.

Different Calculator Types

Calculators fall into three broad categories, and each handles exponents slightly differently.

• Basic scientific calculators (like the Casio fx-82 or TI-30X): These have a dedicated ^ key or a xy key. You type the base, press the key, type the exponent, then press =.
• Graphing calculators (like the TI-84 or Casio fx-9750): They also use the ^ key. On the TI-84, the caret is above the ÷ key. You type the base, press ^, type the exponent, then press ENTER.
• Smartphone calculator apps: The standard iPhone calculator in portrait mode hides the exponent function. Rotate to landscape to see the ^ key. Android calculators often have a ^ or xy button, sometimes hidden behind a second page of functions.

Step-by-Step: Using the Caret Key

This is the most common method and works on most scientific and graphing calculators.

1. Clear the screen (press AC or C).
2. Type the base number. For example, 5.
3. Press the ^ key. Some calculators label it xy or yx – they all do the same thing.
4. Type the exponent. For example, 3.
5. Press = (or ENTER on graphing calculators).
6. Read the result. For 5^3, you get 125.

If your calculator has a xy key, you may need to press SHIFT or 2ndF first to access it, depending on the model.

Using the EE or EXP Key for Powers of 10

Scientific notation uses powers of 10, like 6.02 × 10²³. The EE or EXP key is a shortcut for “×10^â€�. To enter 6.02 × 10²³:

1. Type 6.02
2. Press EE or EXP
3. Type 23
4. Press =

The calculator displays 6.02E23 or 6.02×10²³. This is not the same as typing 6.02^23, which would be a different number. The EE key is specifically for powers of 10, not for general exponents.

Common Mistakes and How to Avoid Them

• Forgetting parentheses for negative bases: If you type -2^2, many calculators interpret it as -(2^2) = -4, not (-2)^2 = 4. To square negative two, type (-2)^2.
• Using the wrong key for powers of 10: The EE key is for scientific notation, not for arbitrary exponents. Using ^ gives the same result if you type 10^23, but EE is faster and less error-prone.
• Not pressing the exponent key at all: On some basic calculators, typing 5 then 3 gives 53, not 5^3. You must press the exponent key.
• Confusing the order on yx keys: On a yx key, you type the base first, then press the key, then the exponent. Some older calculators reverse this, so check the manual or test with 2^3 to see if you get 8.
• Fractional exponents: To calculate a root like the cube root of 8, you can use 8^(1/3). Type 8, press ^, type (1/3), press =. The parentheses are essential; without them, 8^1/3 gives 2.666… instead of 2.

When to Use Each Method

• Use the ^ key for any general exponent: squares, cubes, fractional powers, negative powers.
• Use the EE/EXP key only when the exponent is a power of 10 and you are working in scientific notation, such as in physics, chemistry, or engineering.
• Use the x² or x³ keys if your calculator has them for quick squares and cubes, but they are just shortcuts for ^2 and ^3.
• Use the root keys (√, ∛) for square and cube roots, but remember that a root is the same as a fractional exponent: √x = x^(1/2).

Why the Order of Operations Matters

Calculators follow the standard order of operations: parentheses, exponents, multiplication/division, addition/subtraction. This means that when you type 2 + 3^2, the calculator computes 3^2 = 9 first, then adds 2, giving 11. If you want (2+3)^2, you must use parentheses: (2+3)^2 = 25. This is a common source of wrong answers, especially when entering longer expressions.

Frequently Asked Questions

How do I type an exponent on a phone calculator?

On the iPhone calculator, rotate the phone to landscape mode to reveal the ^ key. On Android, the default calculator often has a ^ button, sometimes hidden behind a second page (tap the grid icon). If your app does not have ^, download a scientific calculator app.

What is the difference between ^ and EE on a calculator?

The ^ key computes any base raised to any exponent (e.g., 2^5 = 32). The EE (or EXP) key is a shortcut for “×10^� and is used only for powers of 10. Typing 2 EE 5 gives 2×10^5 = 200,000, not 32.

How do I calculate negative exponents?

Type the base, press ^, then type the negative exponent in parentheses. For example, to calculate 2^-3, type 2 ^ (-3) and press =. The result is 0.125, because 2^-3 = 1/(2^3).

How do I calculate fractional exponents like 8^(2/3)?

Type 8, press ^, then type (2/3) using parentheses, and press =. The result is 4, because 8^(2/3) = (cube root of 8)^2 = 2^2 = 4. Without parentheses, 8^2/3 would give 64/3 ≈ 21.33.

Why does my calculator give -4 for -2^2?

Because the calculator interprets -2^2 as -(2^2), following the order of operations where exponentiation happens before negation. To get (-2)^2 = 4, you must type parentheses around the negative base: (-2)^2.

Is there a way to do exponents without a special key?

On basic calculators without an exponent key, you can multiply the base by itself repeatedly for integer exponents. For example, 2^5 = 2×2×2×2×2. For fractional or negative exponents, you need a scientific calculator or a computer.

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in base | Base | - | 2 | 0
in exp | Exponent | - | 10 | 0
out result | Result | - | base ^ exp | 4