Multiply Powers with Same Base: Solving 4² × 4⁴

42×44= 4^2\times4^4=

❤️ 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
00:06 When multiplying powers with the same base,
00:10 add the exponents together. For example, the answer is six.
00:14 And that's how we solve it!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

42×44= 4^2\times4^4=

2

Step-by-step solution

To solve the exercise we use the property of multiplication of powers with the same bases:

an∗am=an+m a^n * a^m = a^{n+m}

With the help of this property, we can add the exponents.

42×44=44+2=46 4^2\times4^4=4^{4+2}=4^6

3

Final Answer

46 4^6

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

Solve: (38x⁵y⁴/9x) × (5xy/3y²) Fraction Multiplication
Click to solve
Calculate 7^9 × 7: Solving a Power Multiplication Problem
Click to solve