Calculate 10^3: Converting Powers to Integer Form

Write the following as an integer:

103= 10^3=

❤️ 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
00:00 Solve
00:03 Let's use the power formula
00:06 Any number (X) to the power of (N)
00:09 equals X multiplied by itself N times
00:19 Let's use this formula in our exercise
00:25 Break down the power into multiplications
00:37 Calculate the multiplications
00:43 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Write the following as an integer:

103= 10^3=

2

Step-by-step solution

To solve the problem of finding 103 10^3 , let us apply the rules of exponents:

  • Step 1: Recognize that 103 10^3 means the base 10 is multiplied by itself three times.
  • Step 2: Write out this multiplication: 10×10×10 10 \times 10 \times 10 .
  • Step 3: Calculate the result step by step.
    First, calculate 10×10=100 10 \times 10 = 100 .
    Next, multiply the result by 10: 100×10=1000 100 \times 10 = 1000 .

Therefore, the expression 103 10^3 evaluates to 1000.

Thus, the solution to this problem is 1000 1000 , which corresponds to choice 4.

3

Final Answer

1000

Practice Quiz

Test your knowledge with interactive questions

\( 11^2= \)

🌟 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

More Questions

Click on any question to see the complete solution with step-by-step explanations