Question
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Answer
\( 3a^{6} \)
Solution
Calculate or simplify the expression \( a^{2} \times 3a^{4} \).
Simplify the expression by following steps:
- step0: Solution:
\(a^{2}\times 3a^{4}\)
- step1: Multiply the terms:
\(a^{2+4}\times 3\)
- step2: Add the numbers:
\(a^{6}\times 3\)
- step3: Reorder the terms:
\(3a^{6}\)
The simplified form of \( a^{2} \times 3a^{4} \) is \( 3a^{6} \).
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Simplify this solution Beyond the Answer
To simplify \( a^{2} \times 3 a^{4} \), first, apply the commutative property of multiplication, rearranging the terms to \( 3 \times a^{2} \times a^{4} \). Then, using the property of exponents that states when multiplying like bases, you add the exponents: \( a^{2+4} = a^{6} \). Thus, the final simplified expression is \( 3a^{6} \). Remember that understanding how to manipulate exponents is crucial in algebra, especially when you dive into more complex equations. Keep practicing these steps, and soon it’ll be second nature to simplify expressions in a flash!
