Simplify Powers of 5: Reducing 5^a × 5^2a × 5^3a

Reduce the following equation:

5a×52a×53a= 5^a\times5^{2a}\times5^{3a}=

❤️ 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 Simplify the following problem
00:04 According to the laws of exponents, multiplying exponents with the same base (A)
00:08 equals the same base raised to the sum of the exponents (N+M)
00:11 We'll apply this formula to our exercise
00:15 We'll maintain the base and add the exponents together
00:28 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Reduce the following equation:

5a×52a×53a= 5^a\times5^{2a}\times5^{3a}=

3

Final Answer

5a+2a+3a 5^{a+2a+3a}

Practice Quiz

Test your knowledge with interactive questions

\( 112^0=\text{?} \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Exponents Rules 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

Multiplication of Powers

Simplify the Expression: 6^x × 6^a × 6^b Using Exponent Rules
Click to solve
Simplify the Expression: 8^a × 8^2 × 8^x Using Laws of Exponents
Click to solve