Answer :
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:
