At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
Answer:
To simplify \((3x^4)^5\), you apply the rules of exponents. Here's the step-by-step process:
1. Use the power of a power rule \((a^m)^n = a^{mn}\).
2. Distribute the exponent 5 to both the coefficient 3 and the term \(x^4\).
First, handle the coefficient:
\[(3)^5 = 3^5\]
Now, handle the variable with the exponent:
\[(x^4)^5 = x^{4 \cdot 5} = x^{20}\]
Combine both results:
\[(3x^4)^5 = 3^5 \cdot x^{20}\]
Now, calculate \(3^5\):
\[3^5 = 3 \cdot 3 \cdot 3 \cdot 3 \cdot 3 = 243\]
So, \((3x^4)^5\) simplifies to:
\[243x^{20}\]
Step-by-step explanation:
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.
