Using exponents on a TI-84 calculator is simple once you know which key to use. The calculator has a dedicated caret (^) key for entering powers such as 2³, 5⁴, and 10⁶. You can also use the TI-84 to calculate negative exponents, decimal exponents, powers of variables, and expressions that contain several operations.

Exponents are common in algebra, geometry, scientific notation, statistics, and precalculus. Learning the correct button sequence can help you avoid syntax errors and incorrect results. The steps below explain how to enter and calculate different types of exponents on a TI-84 calculator.

What Is an Exponent?

An exponent tells you how many times a number is multiplied by itself. For example, 2³ means:

2 × 2 × 2 = 8

In this example, 2 is the base and 3 is the exponent.

A TI-84 calculator uses the ^ symbol to enter an exponent. The basic format is:

Base ^ Exponent

For example:

5^3 = 125

The calculator reads this as 5 raised to the third power.

Where Is the Exponent Key on a TI-84?

The exponent key is labeled ^ on the TI-84 keyboard. The key is located in the upper section of the calculator, near the mathematical operation keys.

The ^ key is different from the x² key.

Use x² when you want to square a number.

Use ^ when you want to enter any exponent, such as 3, 4, 5, 10, or a decimal value.

For example:

  • 7² can be entered with the x² key.
  • 7³ requires the ^ key.
  • 7⁵ requires the ^ key.
  • 7¹⁰ requires the ^ key.

How to Enter a Basic Exponent

You can calculate a basic exponent by entering the base, pressing the ^ key, entering the exponent, and pressing ENTER.

Follow these steps:

  1. Turn on the TI-84 calculator.
  2. Press the 2nd key if another screen is active and return to the home screen.
  3. Enter the base.
  4. Press the ^ key.
  5. Enter the exponent.
  6. Press ENTER.

For example, calculate 3⁴.

Enter:

3 ^ 4 ENTER

The TI-84 displays:

81

This works for any positive whole-number exponent.

How to Calculate Larger Powers

The TI-84 can calculate large powers quickly. You do not need to multiply the base repeatedly.

For example, calculate 12⁵.

Enter:

12 ^ 5 ENTER

The result is:

248832

The calculator performs the repeated multiplication automatically.

You can use the same method for powers such as:

  • 15³
  • 20⁴
  • 25⁵
  • 100³
  • 2¹⁰

The calculator can handle much larger values until the result exceeds its numerical limits.

How to Square a Number

The TI-84 has a dedicated x² key for squaring.

To calculate 9²:

  1. Enter 9.
  2. Press x².
  3. Press ENTER.

The result is:

81

You can also use the exponent key:

9 ^ 2 ENTER

Both methods produce the same result.

The x² key is faster when you only need to square a number.

How to Calculate a Number to the Third Power

The TI-84 does not have a dedicated x³ key. You can use the caret key instead.

For example, calculate 4³.

Enter:

4 ^ 3 ENTER

The result is:

64

You can use this method for any exponent.

How to Enter Negative Exponents

A negative exponent means the reciprocal of a positive power.

For example:

2⁻³ = 1/2³ = 1/8 = 0.125

The TI-84 can calculate negative exponents directly.

Enter:

2 ^ (-) 3 ENTER

Use the TI-84's negative key (−), located near the bottom of the keypad, when entering a negative exponent. Do not confuse this key with the regular subtraction operation.

The result is:

0.125

Using the correct negative key helps prevent syntax problems.

How to Calculate Decimal Exponents

The TI-84 can also calculate powers with decimal exponents.

For example:

16⁰·⁵

Enter:

16 ^ 0.5 ENTER

The result is:

4

A decimal exponent can represent a fractional power. For example, 0.5 is equivalent to 1/2.

Another example is:

27^(1/3)

Enter:

27 ^ (1 ÷ 3) ENTER

The result is approximately:

3

Decimal and fractional exponents are useful when working with roots and algebraic equations.

How to Use Fractions as Exponents

You can enter a fraction as an exponent by using parentheses.

For example:

81^(1/4)

This represents the fourth root of 81.

Enter:

81 ^ (1 ÷ 4) ENTER

The result is:

3

You can also use the TI-84 fraction template when entering a fractional exponent. The important point is to place the complete fraction inside parentheses.

Without parentheses, the calculator may interpret the expression differently.

How to Use Parentheses With Exponents

Parentheses become important when the base contains more than one number or operation.

For example:

(2 + 3)²

Enter:

( 2 + 3 ) ^ 2 ENTER

The result is:

25

The calculator first evaluates the expression inside the parentheses:

2 + 3 = 5

It then calculates:

5² = 25

Parentheses are also important when raising negative numbers to a power.

How to Calculate Powers of Negative Numbers

Consider:

(-3)²

The parentheses make the negative number part of the base.

Enter:

( — 3 ) ^ 2 ENTER

The result is:

9

However, the expression:

-3²

is different. Under standard order of operations, the exponent is evaluated before the negative sign. This produces:

-9

This difference is important in algebra.

Use parentheses when the negative number itself is the base.

How to Calculate Exponents in an Expression

The TI-84 can calculate expressions that contain several operations.

For example:

2³ + 4²

Enter:

2 ^ 3 + 4 ^ 2 ENTER

The result is:

24

The calculator follows the standard order of operations.

Exponents are evaluated before addition and subtraction.

Another example is:

5² − 2³

Enter:

5 ^ 2 — 2 ^ 3 ENTER

The result is:

17

How to Use Exponents With Variables

You can use exponents when working with variables in the TI-84's graphing and equation functions.

For example, the equation:

y = x²

can be entered in the Y= screen.

Follow these steps:

  1. Press Y=.
  2. Enter X.
  3. Press x².
  4. Press ENTER if needed.
  5. Press GRAPH.

The TI-84 graphs the quadratic function.

For higher powers, use the ^ key.

For example:

Y₁ = X³

Enter the variable X, press ^, and enter 3.

You can use this method for polynomial functions such as:

y = x⁴ + 2x² − 5

How to Use Exponents in Scientific Notation

The TI-84 has an EE function for entering numbers in scientific notation. This is useful when working with very large or very small numbers.

For example:

3 × 10⁵

can be entered using the EE function rather than manually entering 10⁵.

Enter:

3 EE 5 ENTER

The calculator interprets this as:

3 × 10⁵

The EE function is designed specifically for scientific notation. It is different from the ^ key.

For a mathematical expression such as 3 × 10⁵ + 2, you can use the exponent key directly:

3 × 10 ^ 5 + 2

Common Exponent Errors on a TI-84

Several mistakes can produce incorrect answers when using exponents.

Forgetting Parentheses

An expression such as:

(-4)²

requires parentheses.

Without parentheses, the TI-84 interprets the negative sign separately.

Using the Wrong Negative Key

Use the TI-84 negative key for negative numbers and negative exponents. The subtraction key has a different function.

Forgetting to Press ENTER

The TI-84 calculates the expression after you press ENTER.

Entering a Fraction Without Parentheses

For an exponent such as:

2^(1/3)

place the complete fraction inside parentheses.

Confusing x² With ^

The x² key is designed for squares. The ^ key lets you enter a general exponent.

How to Check an Exponent Calculation

You can verify a calculation by entering the same expression again or by breaking the expression into smaller steps.

For example, to check:

6³

First calculate:

6 × 6 × 6

The result should be:

216

You can also use the TI-84's history on the home screen to review previous calculations. This feature makes it easier to identify an incorrectly entered base or exponent.

Exponent Examples for Practice

Try these calculations on your TI-84:

ExpressionTI-84 EntryAnswer
2³2 ^ 38
5⁴5 ^ 4625
10⁶10 ^ 61,000,000
7²7 x²49
2⁻³2 ^ (-) 30.125
16⁰·⁵16 ^ 0.54
(-3)²(-3) ^ 29
27^(1/3)27 ^ (1 ÷ 3)3

Practicing different exponent types helps you become familiar with the TI-84 keyboard.

Frequently Asked Questions

What button do you use for exponents on a TI-84?

Use the ^ key to enter a general exponent. Enter the base, press ^, enter the exponent, and press ENTER.

How do you do 10 to the power of 5 on a TI-84?

Enter 10 ^ 5 and press ENTER. The calculator displays 100,000.

How do you type x to the power of 3 on a TI-84?

Press X, press ^, enter 3, and press ENTER. In the graphing screen, the same method creates a function such as Y₁ = X³.

How do you enter a negative exponent?

Enter the base, press ^, use the TI-84 negative key, enter the exponent, and press ENTER. For example, 2⁻² produces 0.25.

Why do I need parentheses for negative bases?

Parentheses tell the calculator that the negative number is the complete base. For example, (-2)² equals 4, while -2² equals -4 under standard order of operations.

Can a TI-84 calculate fractional exponents?

Yes. Enter the fraction or decimal exponent after the ^ key. For example, 16^(1/2) produces 4.

What is the difference between ^ and EE?

The ^ key calculates mathematical powers. The EE function enters the exponent portion of scientific notation. These functions serve different purposes.