Calculate 5³: Finding the Value of 5 Cubed

Q: What's the difference between $ 5^3 $ and $ 5 \times 3 $ ?

$ 5^3 $ means 5 × 5 × 5 = 125, while $ 5 \times 3 $ means 5 + 5 + 5 = 15. The small raised number (exponent) tells you how many times to multiply the base by itself!

Q: Why is $ 5^3 $ called '5 cubed'?

It's called cubed because when you build a cube with side length 5, the volume is $ 5 \times 5 \times 5 = 125 $ cubic units. The exponent 3 represents the three dimensions!

Q: How do I remember which answer is correct?

Think step by step: $ 5^2 = 25 $ (5 squared), so $ 5^3 $ must be bigger. Calculate 25 × 5 = 125. It's much larger than the other choices!

Q: Is there a shortcut for calculating cubes?

For small numbers, memorize common cubes: $ 1^3 = 1 $, $ 2^3 = 8 $, $ 3^3 = 27 $, $ 4^3 = 64 $, $ 5^3 = 125 $. This makes problems much faster!

Q: What if I get confused during the calculation?

Write it out clearly: $ 5^3 = 5 \times 5 \times 5 $. Then do one multiplication at a time: first $ 5 \times 5 = 25 $, then $ 25 \times 5 = 125 $.

Exponent Evaluation with Perfect Cubes

$5^3=$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's solve this problem together.

00:08 First, break down the exponent into multiplication. For example, A to the power of 3 means A times A times A.

00:16 Now, calculate these multiplications step by step.

00:21 And there you have it! That's how we solve this problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$5^3=$

Step-by-step solution

To solve this problem, we'll evaluate $5^3$ , which means we need to calculate the product of multiplying the number $5$ by itself three times.

Step 1: Compute $5 \times 5$ .
Step 2: Compute the result of $5 \times 5$ and multiply it by $5$ again.

Let's work through each step:

Step 1: Calculate $5 \times 5 = 25$ .

Step 2: Take the result $25$ and multiply it by $5$ :
$25 \times 5 = 125$ .

Therefore, the value of $5^3$ is $125$ .

Final Answer

$125$

Key Points to Remember

Essential concepts to master this topic

Definition: Cubing means multiplying a number by itself three times
Method: Calculate $5 \times 5 = 25$ , then $25 \times 5 = 125$
Check: Count factors: $5 \times 5 \times 5$ has exactly three 5's ✓

Common Mistakes

Avoid these frequent errors

Adding instead of multiplying the exponent
Don't calculate $5^3$ as 5 + 3 = 8 or 5 × 3 = 15! This confuses the exponent with multiplication or addition. Always multiply the base by itself the number of times shown in the exponent.

Practice Quiz

Test your knowledge with interactive questions

$$ 11^2= $$

FAQ

Everything you need to know about this question

What's the difference between $5^3$ and $5 \times 3$ ?

$5^3$ means 5 × 5 × 5 = 125, while $5 \times 3$ means 5 + 5 + 5 = 15. The small raised number (exponent) tells you how many times to multiply the base by itself!

Why is $5^3$ called '5 cubed'?

It's called cubed because when you build a cube with side length 5, the volume is $5 \times 5 \times 5 = 125$ cubic units. The exponent 3 represents the three dimensions!

How do I remember which answer is correct?

Think step by step: $5^2 = 25$ (5 squared), so $5^3$ must be bigger. Calculate 25 × 5 = 125. It's much larger than the other choices!

Is there a shortcut for calculating cubes?

For small numbers, memorize common cubes: $1^3 = 1$ , $2^3 = 8$ , $3^3 = 27$ , $4^3 = 64$ , $5^3 = 125$ . This makes problems much faster!

What if I get confused during the calculation?

Write it out clearly: $5^3 = 5 \times 5 \times 5$ . Then do one multiplication at a time: first $5 \times 5 = 25$ , then $25 \times 5 = 125$ .

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Powers and Roots - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

Calculate 5³: Finding the Value of 5 Cubed

Exponent Evaluation with Perfect Cubes

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

What's the difference between $5^3$ and $5 \times 3$ ?

Why is $5^3$ called '5 cubed'?

How do I remember which answer is correct?

Is there a shortcut for calculating cubes?

What if I get confused during the calculation?

🌟 Unlock Your Math Potential

More Questions

Powers

Calculate 7³: Finding the Cube of Seven

Calculate 4 Cubed: Finding the Value of 4³

Find the Missing Exponent in 4^☐ = 4×4×4×4: Power Equation Solver

Find the Missing Exponent in 12^□ = 12×12×12: Index Notation

Calculate 5³: Finding the Value of 5 Cubed

Exponent Evaluation with Perfect Cubes

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

What's the difference between 53 5^3 53 and 5×3 5 \times 3 5×3?

Why is 53 5^3 53 called '5 cubed'?

How do I remember which answer is correct?

Is there a shortcut for calculating cubes?

What if I get confused during the calculation?

🌟 Unlock Your Math Potential

More Questions

Powers

Calculate 7³: Finding the Cube of Seven

Calculate 4 Cubed: Finding the Value of 4³

Find the Missing Exponent in 4^☐ = 4×4×4×4: Power Equation Solver

Find the Missing Exponent in 12^□ = 12×12×12: Index Notation

What's the difference between $5^3$ and $5 \times 3$ ?

Why is $5^3$ called '5 cubed'?