If you’re wondering what is 3 to the power of 3, the answer is:

3³ = 27

This means you multiply 3 by itself three times:

3 × 3 × 3 = 27

Exponents are an important part of mathematics and appear in algebra, geometry, computer science, finance, physics, and everyday calculations. Understanding how powers work makes it easier to solve equations and recognize number patterns.

Quick Answer

Expression	Answer
3³	27

Answer: 3 to the power of 3 equals 27.

Understanding Exponents

An exponent tells you how many times to multiply a number by itself.

In the expression:

3³

3 is called the base.
3 (the small superscript) is called the exponent or power.

The exponent tells you to use the base three times in multiplication.

So:

3³ = 3 × 3 × 3

Step-by-Step Calculation

Let’s solve it one step at a time.

Step 1: Write the Expression

3³

Step 2: Expand the Expression

Replace the exponent with repeated multiplication:

3 × 3 × 3

Step 3: Multiply

First:

3 × 3 = 9

Then:

9 × 3 = 27

Final Answer: 27

What Does “Three Cubed” Mean?

The expression 3³ is also read as:

Three to the third power
Three raised to the power of three
Three cubed

The term cubed is used because, in geometry, a cube has three equal dimensions:

Length
Width
Height

If each side of a cube measures 3 units, its volume is:

3 × 3 × 3 = 27 cubic units

Exponent Formula

The general rule for exponents is:

aⁿ = a × a × a × … (n times)

For this example:

3³ = 3 × 3 × 3 = 27

Powers of 3 Chart

Expression	Calculation	Result
3¹	3	3
3²	3 × 3	9
3³	3 × 3 × 3	27
3⁴	3 × 3 × 3 × 3	81
3⁵	3 × 3 × 3 × 3 × 3	243
3⁶	3 × 3 × 3 × 3 × 3 × 3	729

This pattern shows how quickly exponential values increase.

Why Learn Exponents?

Exponents simplify repeated multiplication.

Instead of writing:

3 × 3 × 3

You simply write:

3³

This notation saves time and makes mathematical expressions easier to read.

Real-World Applications

Geometry

The volume of a cube is found by raising the side length to the third power.

If each side measures 3 feet:

3³ = 27 cubic feet

Computer Science

Exponents are used in:

Data storage
Binary numbers
Algorithms
Encryption

Finance

Compound interest calculations often involve exponents because money grows over time.

Science

Scientists use exponents to express very large or very small numbers.

For example:

Population growth
Radioactive decay
Physics equations

Engineering

Engineers use powers when calculating:

Volume
Structural loads
Electrical formulas
Material strength

Comparing Common Exponents

Expression	Result
2³	8
3³	27
4³	64
5³	125
10³	1,000

Notice how increasing the base significantly changes the result.

Common Mistakes

Multiplying by the Exponent

Some learners think:

3³ = 3 × 3 = 9

This is incorrect.

The exponent tells you how many times the base appears:

3 × 3 × 3 = 27

Adding Instead of Multiplying

Incorrect:

3 + 3 + 3 = 9

Correct:

3 × 3 × 3 = 27

Confusing 3² with 3³

Remember:

3² = 9
3³ = 27

The exponent determines how many times the base is multiplied.

Ignoring Exponent Rules

An exponent always applies only to the number directly before it unless parentheses indicate otherwise.

Expert Tips

Read 3³ as “three cubed.”
Remember that an exponent represents repeated multiplication.
Practice with small exponents before solving larger problems.
Memorize common powers like 2², 3², 3³, 4², and 5².
Use a calculator to verify larger exponent calculations.

Quick Reference Table

Expression	Answer
2³	8
3²	9
3³	27
4³	64
5³	125

9. Frequently Asked Questions

1. What is 3 to the power of 3?

3 to the power of 3 equals 27.

2. How do you calculate 3³?

Multiply:

3 × 3 × 3

= 27

3. Why is 3³ called “three cubed”?

The third power is traditionally called cubed because it relates to the volume of a cube.

4. Is 3³ the same as 3 × 3?

No. 3 × 3 = 9, while 3 × 3 × 3 = 27.

5. Where are exponents used?

Exponents are used in mathematics, geometry, engineering, finance, computer science, physics, and many scientific calculations.

10. Conclusion

If you’re asking what is 3 to the power of 3, the answer is 27. You calculate it by multiplying 3 by itself three times: