Simplify the Exponential Product: 3^x ⋅ 2^x ⋅ 3^(2x)

3x⋅2x⋅32x= 3^x\cdot2^x\cdot3^{2x}=

❤️ 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

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

3x⋅2x⋅32x= 3^x\cdot2^x\cdot3^{2x}=

2

Step-by-step solution

In this case we have 2 different bases, so we will add what can be added, that is, the exponents of 3 3

3x⋅2x⋅32x=2x⋅33x 3^x\cdot2^x\cdot3^{2x}=2^x\cdot3^{3x}

3

Final Answer

33x⋅2x 3^{3x}\cdot2^x

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: a²×2a³×3a⁻¹ Using Exponent Rules
Click to solve
Simplify b³ × 3b² × 2b⁻² : Complete Exponent Multiplication
Click to solve

Applying Combined Exponents Rules

Simplify a¹² ÷ a⁹ × a³ ÷ a⁴: Exponent Manipulation Practice
Click to solve
Simplify y³/y⁶ × y⁴/y⁻² × y¹²/y⁷: Complete Exponent Operation
Click to solve

Exponents Rules

Solve 6x^6-9x^4=0: Common Factor Factoring Practice
Click to solve
Solve (a⁵)⁷: Simplifying Power of Power Expressions
Click to solve