At IDNLearn.com, find answers to your most pressing questions from experts and enthusiasts alike. Our experts provide timely, comprehensive responses to ensure you have the information you need.
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 contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Thank you for choosing IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more solutions.
